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Finding the Fourth Proportional to 10,636.92, 15,931.62 and 7,708.50

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Solution

The fourth proportional to 10,636.92, 15,931.62 and 7,708.50 is: 11,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.92 : 15,931.62 = 7,708.50 : x
  2. Step 2: Convert to fraction form
    10,636.92/15,931.62 = 7,708.50/x
  3. Step 3: Cross multiply
    10,636.92x = 15,931.62 × 7,708.50
  4. Step 4: Simplify right side
    10,636.92x = 122,808,892.77
  5. Step 5: Solve for x
    x = 122,808,892.77/10,636.92
  6. Step 6: Final answer
    x = 11,545.53

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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.