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Finding the Fourth Proportional to 12,024.16, 18,042.72 and 9,101.76

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Solution

The fourth proportional to 12,024.16, 18,042.72 and 9,101.76 is: 13,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.16 : 18,042.72 = 9,101.76 : x
  2. Step 2: Convert to fraction form
    12,024.16/18,042.72 = 9,101.76/x
  3. Step 3: Cross multiply
    12,024.16x = 18,042.72 × 9,101.76
  4. Step 4: Simplify right side
    12,024.16x = 164,220,507.19
  5. Step 5: Solve for x
    x = 164,220,507.19/12,024.16
  6. Step 6: Final answer
    x = 13,657.55

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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.