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Finding the Fourth Proportional to 8,043.72, 11,041.14 and 7,139.76

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Solution

The fourth proportional to 8,043.72, 11,041.14 and 7,139.76 is: 9,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.72 : 11,041.14 = 7,139.76 : x
  2. Step 2: Convert to fraction form
    8,043.72/11,041.14 = 7,139.76/x
  3. Step 3: Cross multiply
    8,043.72x = 11,041.14 × 7,139.76
  4. Step 4: Simplify right side
    8,043.72x = 78,831,089.73
  5. Step 5: Solve for x
    x = 78,831,089.73/8,043.72
  6. Step 6: Final answer
    x = 9,800.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.