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Finding the Fourth Proportional to 8,139.78, 12,188.52 and 6,977.22

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Solution

The fourth proportional to 8,139.78, 12,188.52 and 6,977.22 is: 10,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.78 : 12,188.52 = 6,977.22 : x
  2. Step 2: Convert to fraction form
    8,139.78/12,188.52 = 6,977.22/x
  3. Step 3: Cross multiply
    8,139.78x = 12,188.52 × 6,977.22
  4. Step 4: Simplify right side
    8,139.78x = 85,041,985.51
  5. Step 5: Solve for x
    x = 85,041,985.51/8,139.78
  6. Step 6: Final answer
    x = 10,447.70

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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.