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Finding the Fourth Proportional to 10,999.98, 16,502.31 and 3,208.14

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Solution

The fourth proportional to 10,999.98, 16,502.31 and 3,208.14 is: 4,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.98 : 16,502.31 = 3,208.14 : x
  2. Step 2: Convert to fraction form
    10,999.98/16,502.31 = 3,208.14/x
  3. Step 3: Cross multiply
    10,999.98x = 16,502.31 × 3,208.14
  4. Step 4: Simplify right side
    10,999.98x = 52,941,720.80
  5. Step 5: Solve for x
    x = 52,941,720.80/10,999.98
  6. Step 6: Final answer
    x = 4,812.89

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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.