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Finding the Fourth Proportional to 8,429.76, 12,646.43 and 2,506.66

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Solution

The fourth proportional to 8,429.76, 12,646.43 and 2,506.66 is: 3,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.76 : 12,646.43 = 2,506.66 : x
  2. Step 2: Convert to fraction form
    8,429.76/12,646.43 = 2,506.66/x
  3. Step 3: Cross multiply
    8,429.76x = 12,646.43 × 2,506.66
  4. Step 4: Simplify right side
    8,429.76x = 31,700,283.26
  5. Step 5: Solve for x
    x = 31,700,283.26/8,429.76
  6. Step 6: Final answer
    x = 3,760.52

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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.