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Finding the Fourth Proportional to 8,386.07, 12,578.70 and 2,462.71

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Solution

The fourth proportional to 8,386.07, 12,578.70 and 2,462.71 is: 3,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.07 : 12,578.70 = 2,462.71 : x
  2. Step 2: Convert to fraction form
    8,386.07/12,578.70 = 2,462.71/x
  3. Step 3: Cross multiply
    8,386.07x = 12,578.70 × 2,462.71
  4. Step 4: Simplify right side
    8,386.07x = 30,977,690.28
  5. Step 5: Solve for x
    x = 30,977,690.28/8,386.07
  6. Step 6: Final answer
    x = 3,693.95

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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.