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Finding the Fourth Proportional to 10,545.49, 15,807.90 and 5,867.74

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Solution

The fourth proportional to 10,545.49, 15,807.90 and 5,867.74 is: 8,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.49 : 15,807.90 = 5,867.74 : x
  2. Step 2: Convert to fraction form
    10,545.49/15,807.90 = 5,867.74/x
  3. Step 3: Cross multiply
    10,545.49x = 15,807.90 × 5,867.74
  4. Step 4: Simplify right side
    10,545.49x = 92,756,568.11
  5. Step 5: Solve for x
    x = 92,756,568.11/10,545.49
  6. Step 6: Final answer
    x = 8,795.86

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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.