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Finding the Fourth Proportional to 7,649.52, 11,478.06 and 5,648.28

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Solution

The fourth proportional to 7,649.52, 11,478.06 and 5,648.28 is: 8,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.52 : 11,478.06 = 5,648.28 : x
  2. Step 2: Convert to fraction form
    7,649.52/11,478.06 = 5,648.28/x
  3. Step 3: Cross multiply
    7,649.52x = 11,478.06 × 5,648.28
  4. Step 4: Simplify right side
    7,649.52x = 64,831,296.74
  5. Step 5: Solve for x
    x = 64,831,296.74/7,649.52
  6. Step 6: Final answer
    x = 8,475.21

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.