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Finding the Fourth Proportional to 25,708.32, 35,471.76 and 15,642

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Solution

The fourth proportional to 25,708.32, 35,471.76 and 15,642 is: 21,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.32 : 35,471.76 = 15,642 : x
  2. Step 2: Convert to fraction form
    25,708.32/35,471.76 = 15,642/x
  3. Step 3: Cross multiply
    25,708.32x = 35,471.76 × 15,642
  4. Step 4: Simplify right side
    25,708.32x = 554,849,269.92
  5. Step 5: Solve for x
    x = 554,849,269.92/25,708.32
  6. Step 6: Final answer
    x = 21,582.48

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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.