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Finding the Fourth Proportional to 5,209.67, 7,192.71 and 4,649.19

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Solution

The fourth proportional to 5,209.67, 7,192.71 and 4,649.19 is: 6,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.67 : 7,192.71 = 4,649.19 : x
  2. Step 2: Convert to fraction form
    5,209.67/7,192.71 = 4,649.19/x
  3. Step 3: Cross multiply
    5,209.67x = 7,192.71 × 4,649.19
  4. Step 4: Simplify right side
    5,209.67x = 33,440,275.40
  5. Step 5: Solve for x
    x = 33,440,275.40/5,209.67
  6. Step 6: Final answer
    x = 6,418.89

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.