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Finding the Fourth Proportional to 25,728.32, 35,510.62 and 15,660

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Solution

The fourth proportional to 25,728.32, 35,510.62 and 15,660 is: 21,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.32 : 35,510.62 = 15,660 : x
  2. Step 2: Convert to fraction form
    25,728.32/35,510.62 = 15,660/x
  3. Step 3: Cross multiply
    25,728.32x = 35,510.62 × 15,660
  4. Step 4: Simplify right side
    25,728.32x = 556,096,309.20
  5. Step 5: Solve for x
    x = 556,096,309.20/25,728.32
  6. Step 6: Final answer
    x = 21,614.17

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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.