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Finding the Fourth Proportional to 42,493, 63,739.86 and 14,791

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Solution

The fourth proportional to 42,493, 63,739.86 and 14,791 is: 22,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,493 : 63,739.86 = 14,791 : x
  2. Step 2: Convert to fraction form
    42,493/63,739.86 = 14,791/x
  3. Step 3: Cross multiply
    42,493x = 63,739.86 × 14,791
  4. Step 4: Simplify right side
    42,493x = 942,776,269.26
  5. Step 5: Solve for x
    x = 942,776,269.26/42,493
  6. Step 6: Final answer
    x = 22,186.63

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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.