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Finding the Fourth Proportional to 10,727.40, 16,091.10 and 9,998.40

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Solution

The fourth proportional to 10,727.40, 16,091.10 and 9,998.40 is: 14,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.40 : 16,091.10 = 9,998.40 : x
  2. Step 2: Convert to fraction form
    10,727.40/16,091.10 = 9,998.40/x
  3. Step 3: Cross multiply
    10,727.40x = 16,091.10 × 9,998.40
  4. Step 4: Simplify right side
    10,727.40x = 160,885,254.24
  5. Step 5: Solve for x
    x = 160,885,254.24/10,727.40
  6. Step 6: Final answer
    x = 14,997.60

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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.