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Finding the Fourth Proportional to 9,989.01, 13,785.80 and 6,010.07

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Solution

The fourth proportional to 9,989.01, 13,785.80 and 6,010.07 is: 8,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.01 : 13,785.80 = 6,010.07 : x
  2. Step 2: Convert to fraction form
    9,989.01/13,785.80 = 6,010.07/x
  3. Step 3: Cross multiply
    9,989.01x = 13,785.80 × 6,010.07
  4. Step 4: Simplify right side
    9,989.01x = 82,853,524.03
  5. Step 5: Solve for x
    x = 82,853,524.03/9,989.01
  6. Step 6: Final answer
    x = 8,294.47

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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.