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Finding the Fourth Proportional to 42,295, 63,440.10 and 12,712.24

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Solution

The fourth proportional to 42,295, 63,440.10 and 12,712.24 is: 19,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,295 : 63,440.10 = 12,712.24 : x
  2. Step 2: Convert to fraction form
    42,295/63,440.10 = 12,712.24/x
  3. Step 3: Cross multiply
    42,295x = 63,440.10 × 12,712.24
  4. Step 4: Simplify right side
    42,295x = 806,465,776.82
  5. Step 5: Solve for x
    x = 806,465,776.82/42,295
  6. Step 6: Final answer
    x = 19,067.64

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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.