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Finding the Fourth Proportional to 7,209.29, 9,948.83 and 3,897.29

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Solution

The fourth proportional to 7,209.29, 9,948.83 and 3,897.29 is: 5,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.29 : 9,948.83 = 3,897.29 : x
  2. Step 2: Convert to fraction form
    7,209.29/9,948.83 = 3,897.29/x
  3. Step 3: Cross multiply
    7,209.29x = 9,948.83 × 3,897.29
  4. Step 4: Simplify right side
    7,209.29x = 38,773,481.06
  5. Step 5: Solve for x
    x = 38,773,481.06/7,209.29
  6. Step 6: Final answer
    x = 5,378.26

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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.