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Finding the Fourth Proportional to 7,184.70, 9,909.54 and 6,343.92

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Solution

The fourth proportional to 7,184.70, 9,909.54 and 6,343.92 is: 8,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.70 : 9,909.54 = 6,343.92 : x
  2. Step 2: Convert to fraction form
    7,184.70/9,909.54 = 6,343.92/x
  3. Step 3: Cross multiply
    7,184.70x = 9,909.54 × 6,343.92
  4. Step 4: Simplify right side
    7,184.70x = 62,865,329.00
  5. Step 5: Solve for x
    x = 62,865,329.00/7,184.70
  6. Step 6: Final answer
    x = 8,749.89

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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.