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Finding the Fourth Proportional to 42,777.56, 64,169.58 and 11,612

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Solution

The fourth proportional to 42,777.56, 64,169.58 and 11,612 is: 17,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777.56 : 64,169.58 = 11,612 : x
  2. Step 2: Convert to fraction form
    42,777.56/64,169.58 = 11,612/x
  3. Step 3: Cross multiply
    42,777.56x = 64,169.58 × 11,612
  4. Step 4: Simplify right side
    42,777.56x = 745,137,162.96
  5. Step 5: Solve for x
    x = 745,137,162.96/42,777.56
  6. Step 6: Final answer
    x = 17,418.88

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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.