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Finding the Fourth Proportional to 11,152.96, 15,391.19 and 6,117.66

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Solution

The fourth proportional to 11,152.96, 15,391.19 and 6,117.66 is: 8,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.96 : 15,391.19 = 6,117.66 : x
  2. Step 2: Convert to fraction form
    11,152.96/15,391.19 = 6,117.66/x
  3. Step 3: Cross multiply
    11,152.96x = 15,391.19 × 6,117.66
  4. Step 4: Simplify right side
    11,152.96x = 94,158,082.71
  5. Step 5: Solve for x
    x = 94,158,082.71/11,152.96
  6. Step 6: Final answer
    x = 8,442.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.