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Finding the Fourth Proportional to 11,323.40, 15,624.77 and 6,478.04

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Solution

The fourth proportional to 11,323.40, 15,624.77 and 6,478.04 is: 8,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.40 : 15,624.77 = 6,478.04 : x
  2. Step 2: Convert to fraction form
    11,323.40/15,624.77 = 6,478.04/x
  3. Step 3: Cross multiply
    11,323.40x = 15,624.77 × 6,478.04
  4. Step 4: Simplify right side
    11,323.40x = 101,217,891.72
  5. Step 5: Solve for x
    x = 101,217,891.72/11,323.40
  6. Step 6: Final answer
    x = 8,938.83

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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.