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Finding the Fourth Proportional to 7,231.68, 9,982.59 and 4,715.92

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Solution

The fourth proportional to 7,231.68, 9,982.59 and 4,715.92 is: 6,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.68 : 9,982.59 = 4,715.92 : x
  2. Step 2: Convert to fraction form
    7,231.68/9,982.59 = 4,715.92/x
  3. Step 3: Cross multiply
    7,231.68x = 9,982.59 × 4,715.92
  4. Step 4: Simplify right side
    7,231.68x = 47,077,117.15
  5. Step 5: Solve for x
    x = 47,077,117.15/7,231.68
  6. Step 6: Final answer
    x = 6,509.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.