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Finding the Fourth Proportional to 7,000.32, 9,660.24 and 3,813.69

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Solution

The fourth proportional to 7,000.32, 9,660.24 and 3,813.69 is: 5,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.32 : 9,660.24 = 3,813.69 : x
  2. Step 2: Convert to fraction form
    7,000.32/9,660.24 = 3,813.69/x
  3. Step 3: Cross multiply
    7,000.32x = 9,660.24 × 3,813.69
  4. Step 4: Simplify right side
    7,000.32x = 36,841,160.69
  5. Step 5: Solve for x
    x = 36,841,160.69/7,000.32
  6. Step 6: Final answer
    x = 5,262.78

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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.