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Finding the Fourth Proportional to 42,488, 63,759.36 and 17,864

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Solution

The fourth proportional to 42,488, 63,759.36 and 17,864 is: 26,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,488 : 63,759.36 = 17,864 : x
  2. Step 2: Convert to fraction form
    42,488/63,759.36 = 17,864/x
  3. Step 3: Cross multiply
    42,488x = 63,759.36 × 17,864
  4. Step 4: Simplify right side
    42,488x = 1,138,997,207.04
  5. Step 5: Solve for x
    x = 1,138,997,207.04/42,488
  6. Step 6: Final answer
    x = 26,807.50

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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.