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Finding the Fourth Proportional to 15,471, 21,350.36 and 9,499.28

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Solution

The fourth proportional to 15,471, 21,350.36 and 9,499.28 is: 13,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 21,350.36 = 9,499.28 : x
  2. Step 2: Convert to fraction form
    15,471/21,350.36 = 9,499.28/x
  3. Step 3: Cross multiply
    15,471x = 21,350.36 × 9,499.28
  4. Step 4: Simplify right side
    15,471x = 202,813,047.74
  5. Step 5: Solve for x
    x = 202,813,047.74/15,471
  6. Step 6: Final answer
    x = 13,109.24

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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.