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Finding the Fourth Proportional to 8,423, 12,629.64 and 3,743

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Solution

The fourth proportional to 8,423, 12,629.64 and 3,743 is: 5,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423 : 12,629.64 = 3,743 : x
  2. Step 2: Convert to fraction form
    8,423/12,629.64 = 3,743/x
  3. Step 3: Cross multiply
    8,423x = 12,629.64 × 3,743
  4. Step 4: Simplify right side
    8,423x = 47,272,742.52
  5. Step 5: Solve for x
    x = 47,272,742.52/8,423
  6. Step 6: Final answer
    x = 5,612.34

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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.