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Finding the Fourth Proportional to 12,331.88, 16,998.02 and 9,638.40

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Solution

The fourth proportional to 12,331.88, 16,998.02 and 9,638.40 is: 13,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.88 : 16,998.02 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    12,331.88/16,998.02 = 9,638.40/x
  3. Step 3: Cross multiply
    12,331.88x = 16,998.02 × 9,638.40
  4. Step 4: Simplify right side
    12,331.88x = 163,833,715.97
  5. Step 5: Solve for x
    x = 163,833,715.97/12,331.88
  6. Step 6: Final answer
    x = 13,285.38

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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.