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Finding the Fourth Proportional to 15,398.65, 21,253.44 and 9,729.80

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Solution

The fourth proportional to 15,398.65, 21,253.44 and 9,729.80 is: 13,429.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.65 : 21,253.44 = 9,729.80 : x
  2. Step 2: Convert to fraction form
    15,398.65/21,253.44 = 9,729.80/x
  3. Step 3: Cross multiply
    15,398.65x = 21,253.44 × 9,729.80
  4. Step 4: Simplify right side
    15,398.65x = 206,791,730.43
  5. Step 5: Solve for x
    x = 206,791,730.43/15,398.65
  6. Step 6: Final answer
    x = 13,429.21

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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.