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Finding the Fourth Proportional to 5,728.70, 8,593.05 and 5,102.30

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Solution

The fourth proportional to 5,728.70, 8,593.05 and 5,102.30 is: 7,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.70 : 8,593.05 = 5,102.30 : x
  2. Step 2: Convert to fraction form
    5,728.70/8,593.05 = 5,102.30/x
  3. Step 3: Cross multiply
    5,728.70x = 8,593.05 × 5,102.30
  4. Step 4: Simplify right side
    5,728.70x = 43,844,319.02
  5. Step 5: Solve for x
    x = 43,844,319.02/5,728.70
  6. Step 6: Final answer
    x = 7,653.45

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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.