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Finding the Fourth Proportional to 7,139.68, 10,658.42 and 6,205.76

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Solution

The fourth proportional to 7,139.68, 10,658.42 and 6,205.76 is: 9,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.68 : 10,658.42 = 6,205.76 : x
  2. Step 2: Convert to fraction form
    7,139.68/10,658.42 = 6,205.76/x
  3. Step 3: Cross multiply
    7,139.68x = 10,658.42 × 6,205.76
  4. Step 4: Simplify right side
    7,139.68x = 66,143,635.37
  5. Step 5: Solve for x
    x = 66,143,635.37/7,139.68
  6. Step 6: Final answer
    x = 9,264.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.