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Finding the Fourth Proportional to 9,906.49, 14,862.21 and 6,990.49

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Solution

The fourth proportional to 9,906.49, 14,862.21 and 6,990.49 is: 10,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.49 : 14,862.21 = 6,990.49 : x
  2. Step 2: Convert to fraction form
    9,906.49/14,862.21 = 6,990.49/x
  3. Step 3: Cross multiply
    9,906.49x = 14,862.21 × 6,990.49
  4. Step 4: Simplify right side
    9,906.49x = 103,894,130.38
  5. Step 5: Solve for x
    x = 103,894,130.38/9,906.49
  6. Step 6: Final answer
    x = 10,487.48

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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.