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Finding the Fourth Proportional to 16,948.80, 25,390.80 and 15,782.40

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Solution

The fourth proportional to 16,948.80, 25,390.80 and 15,782.40 is: 23,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948.80 : 25,390.80 = 15,782.40 : x
  2. Step 2: Convert to fraction form
    16,948.80/25,390.80 = 15,782.40/x
  3. Step 3: Cross multiply
    16,948.80x = 25,390.80 × 15,782.40
  4. Step 4: Simplify right side
    16,948.80x = 400,727,761.92
  5. Step 5: Solve for x
    x = 400,727,761.92/16,948.80
  6. Step 6: Final answer
    x = 23,643.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.