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Finding the Fourth Proportional to 8,371.66, 12,569.82 and 4,681.12

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Solution

The fourth proportional to 8,371.66, 12,569.82 and 4,681.12 is: 7,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.66 : 12,569.82 = 4,681.12 : x
  2. Step 2: Convert to fraction form
    8,371.66/12,569.82 = 4,681.12/x
  3. Step 3: Cross multiply
    8,371.66x = 12,569.82 × 4,681.12
  4. Step 4: Simplify right side
    8,371.66x = 58,840,835.80
  5. Step 5: Solve for x
    x = 58,840,835.80/8,371.66
  6. Step 6: Final answer
    x = 7,028.57

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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.