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Finding the Fourth Proportional to 25,709.32, 35,473.14 and 15,643

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Solution

The fourth proportional to 25,709.32, 35,473.14 and 15,643 is: 21,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.32 : 35,473.14 = 15,643 : x
  2. Step 2: Convert to fraction form
    25,709.32/35,473.14 = 15,643/x
  3. Step 3: Cross multiply
    25,709.32x = 35,473.14 × 15,643
  4. Step 4: Simplify right side
    25,709.32x = 554,906,329.02
  5. Step 5: Solve for x
    x = 554,906,329.02/25,709.32
  6. Step 6: Final answer
    x = 21,583.86

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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.