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Finding the Fourth Proportional to 9,998.52, 14,998.20 and 3,429.22

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Solution

The fourth proportional to 9,998.52, 14,998.20 and 3,429.22 is: 5,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.52 : 14,998.20 = 3,429.22 : x
  2. Step 2: Convert to fraction form
    9,998.52/14,998.20 = 3,429.22/x
  3. Step 3: Cross multiply
    9,998.52x = 14,998.20 × 3,429.22
  4. Step 4: Simplify right side
    9,998.52x = 51,432,127.40
  5. Step 5: Solve for x
    x = 51,432,127.40/9,998.52
  6. Step 6: Final answer
    x = 5,143.97

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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.