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Finding the Fourth Proportional to 8,671.40, 13,006.76 and 6,031.28

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Solution

The fourth proportional to 8,671.40, 13,006.76 and 6,031.28 is: 9,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671.40 : 13,006.76 = 6,031.28 : x
  2. Step 2: Convert to fraction form
    8,671.40/13,006.76 = 6,031.28/x
  3. Step 3: Cross multiply
    8,671.40x = 13,006.76 × 6,031.28
  4. Step 4: Simplify right side
    8,671.40x = 78,447,411.45
  5. Step 5: Solve for x
    x = 78,447,411.45/8,671.40
  6. Step 6: Final answer
    x = 9,046.68

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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.