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Finding the Fourth Proportional to 11,545.56, 15,932.88 and 6,830.16

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Solution

The fourth proportional to 11,545.56, 15,932.88 and 6,830.16 is: 9,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.56 : 15,932.88 = 6,830.16 : x
  2. Step 2: Convert to fraction form
    11,545.56/15,932.88 = 6,830.16/x
  3. Step 3: Cross multiply
    11,545.56x = 15,932.88 × 6,830.16
  4. Step 4: Simplify right side
    11,545.56x = 108,824,119.66
  5. Step 5: Solve for x
    x = 108,824,119.66/11,545.56
  6. Step 6: Final answer
    x = 9,425.63

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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.