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Finding the Fourth Proportional to 9,474.75, 14,221.98 and 6,978.76

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Solution

The fourth proportional to 9,474.75, 14,221.98 and 6,978.76 is: 10,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.75 : 14,221.98 = 6,978.76 : x
  2. Step 2: Convert to fraction form
    9,474.75/14,221.98 = 6,978.76/x
  3. Step 3: Cross multiply
    9,474.75x = 14,221.98 × 6,978.76
  4. Step 4: Simplify right side
    9,474.75x = 99,251,731.48
  5. Step 5: Solve for x
    x = 99,251,731.48/9,474.75
  6. Step 6: Final answer
    x = 10,475.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.