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Finding the Fourth Proportional to 8,689.96, 11,977.86 and 7,115.32

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Solution

The fourth proportional to 8,689.96, 11,977.86 and 7,115.32 is: 9,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.96 : 11,977.86 = 7,115.32 : x
  2. Step 2: Convert to fraction form
    8,689.96/11,977.86 = 7,115.32/x
  3. Step 3: Cross multiply
    8,689.96x = 11,977.86 × 7,115.32
  4. Step 4: Simplify right side
    8,689.96x = 85,226,306.82
  5. Step 5: Solve for x
    x = 85,226,306.82/8,689.96
  6. Step 6: Final answer
    x = 9,807.45

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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.