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Finding the Fourth Proportional to 15,142.16, 22,713.35 and 5,779.66

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Solution

The fourth proportional to 15,142.16, 22,713.35 and 5,779.66 is: 8,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.16 : 22,713.35 = 5,779.66 : x
  2. Step 2: Convert to fraction form
    15,142.16/22,713.35 = 5,779.66/x
  3. Step 3: Cross multiply
    15,142.16x = 22,713.35 × 5,779.66
  4. Step 4: Simplify right side
    15,142.16x = 131,275,440.46
  5. Step 5: Solve for x
    x = 131,275,440.46/15,142.16
  6. Step 6: Final answer
    x = 8,669.53

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