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Finding the Fourth Proportional to 9,982.88, 13,781.77 and 6,004.88

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Solution

The fourth proportional to 9,982.88, 13,781.77 and 6,004.88 is: 8,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.88 : 13,781.77 = 6,004.88 : x
  2. Step 2: Convert to fraction form
    9,982.88/13,781.77 = 6,004.88/x
  3. Step 3: Cross multiply
    9,982.88x = 13,781.77 × 6,004.88
  4. Step 4: Simplify right side
    9,982.88x = 82,757,875.04
  5. Step 5: Solve for x
    x = 82,757,875.04/9,982.88
  6. Step 6: Final answer
    x = 8,289.98

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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.