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Finding the Fourth Proportional to 9,967.48, 13,755.90 and 5,990.20

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Solution

The fourth proportional to 9,967.48, 13,755.90 and 5,990.20 is: 8,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.48 : 13,755.90 = 5,990.20 : x
  2. Step 2: Convert to fraction form
    9,967.48/13,755.90 = 5,990.20/x
  3. Step 3: Cross multiply
    9,967.48x = 13,755.90 × 5,990.20
  4. Step 4: Simplify right side
    9,967.48x = 82,400,592.18
  5. Step 5: Solve for x
    x = 82,400,592.18/9,967.48
  6. Step 6: Final answer
    x = 8,266.94

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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.