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Finding the Fourth Proportional to 8,172.88, 12,259.32 and 2,978.76

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Solution

The fourth proportional to 8,172.88, 12,259.32 and 2,978.76 is: 4,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.88 : 12,259.32 = 2,978.76 : x
  2. Step 2: Convert to fraction form
    8,172.88/12,259.32 = 2,978.76/x
  3. Step 3: Cross multiply
    8,172.88x = 12,259.32 × 2,978.76
  4. Step 4: Simplify right side
    8,172.88x = 36,517,572.04
  5. Step 5: Solve for x
    x = 36,517,572.04/8,172.88
  6. Step 6: Final answer
    x = 4,468.14

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1.5x scale

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.