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Finding the Fourth Proportional to 9,887.91, 13,641.48 and 6,104.49

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Solution

The fourth proportional to 9,887.91, 13,641.48 and 6,104.49 is: 8,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.91 : 13,641.48 = 6,104.49 : x
  2. Step 2: Convert to fraction form
    9,887.91/13,641.48 = 6,104.49/x
  3. Step 3: Cross multiply
    9,887.91x = 13,641.48 × 6,104.49
  4. Step 4: Simplify right side
    9,887.91x = 83,274,278.25
  5. Step 5: Solve for x
    x = 83,274,278.25/9,887.91
  6. Step 6: Final answer
    x = 8,421.83

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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.