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Finding the Fourth Proportional to 8,671.39, 13,004 and 3,123.24

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Solution

The fourth proportional to 8,671.39, 13,004 and 3,123.24 is: 4,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.39 : 13,004 = 3,123.24 : x
  2. Step 2: Convert to fraction form
    8,671.39/13,004 = 3,123.24/x
  3. Step 3: Cross multiply
    8,671.39x = 13,004 × 3,123.24
  4. Step 4: Simplify right side
    8,671.39x = 40,614,612.96
  5. Step 5: Solve for x
    x = 40,614,612.96/8,671.39
  6. Step 6: Final answer
    x = 4,683.75

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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.