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Finding the Fourth Proportional to 10,677.70, 16,016.55 and 9,900.10

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Solution

The fourth proportional to 10,677.70, 16,016.55 and 9,900.10 is: 14,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.70 : 16,016.55 = 9,900.10 : x
  2. Step 2: Convert to fraction form
    10,677.70/16,016.55 = 9,900.10/x
  3. Step 3: Cross multiply
    10,677.70x = 16,016.55 × 9,900.10
  4. Step 4: Simplify right side
    10,677.70x = 158,565,446.66
  5. Step 5: Solve for x
    x = 158,565,446.66/10,677.70
  6. Step 6: Final answer
    x = 14,850.15

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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.