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Finding the Fourth Proportional to 8,114.49, 12,155.94 and 5,332.77

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Solution

The fourth proportional to 8,114.49, 12,155.94 and 5,332.77 is: 7,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.49 : 12,155.94 = 5,332.77 : x
  2. Step 2: Convert to fraction form
    8,114.49/12,155.94 = 5,332.77/x
  3. Step 3: Cross multiply
    8,114.49x = 12,155.94 × 5,332.77
  4. Step 4: Simplify right side
    8,114.49x = 64,824,832.15
  5. Step 5: Solve for x
    x = 64,824,832.15/8,114.49
  6. Step 6: Final answer
    x = 7,988.77

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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.