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Finding the Fourth Proportional to 8,496.77, 11,731.19 and 5,314.86

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Solution

The fourth proportional to 8,496.77, 11,731.19 and 5,314.86 is: 7,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.77 : 11,731.19 = 5,314.86 : x
  2. Step 2: Convert to fraction form
    8,496.77/11,731.19 = 5,314.86/x
  3. Step 3: Cross multiply
    8,496.77x = 11,731.19 × 5,314.86
  4. Step 4: Simplify right side
    8,496.77x = 62,349,605.91
  5. Step 5: Solve for x
    x = 62,349,605.91/8,496.77
  6. Step 6: Final answer
    x = 7,338.04

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1.5x scale

Why These Related Problems?

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