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Finding the Fourth Proportional to 8,360.82, 12,547.17 and 3,434.94

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Solution

The fourth proportional to 8,360.82, 12,547.17 and 3,434.94 is: 5,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.82 : 12,547.17 = 3,434.94 : x
  2. Step 2: Convert to fraction form
    8,360.82/12,547.17 = 3,434.94/x
  3. Step 3: Cross multiply
    8,360.82x = 12,547.17 × 3,434.94
  4. Step 4: Simplify right side
    8,360.82x = 43,098,776.12
  5. Step 5: Solve for x
    x = 43,098,776.12/8,360.82
  6. Step 6: Final answer
    x = 5,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.