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Finding the Fourth Proportional to 11,902.70, 16,416.19 and 7,417.90

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Solution

The fourth proportional to 11,902.70, 16,416.19 and 7,417.90 is: 10,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.70 : 16,416.19 = 7,417.90 : x
  2. Step 2: Convert to fraction form
    11,902.70/16,416.19 = 7,417.90/x
  3. Step 3: Cross multiply
    11,902.70x = 16,416.19 × 7,417.90
  4. Step 4: Simplify right side
    11,902.70x = 121,773,655.80
  5. Step 5: Solve for x
    x = 121,773,655.80/11,902.70
  6. Step 6: Final answer
    x = 10,230.76

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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.