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Finding the Fourth Proportional to 9,811.97, 13,540.60 and 5,335.71

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Solution

The fourth proportional to 9,811.97, 13,540.60 and 5,335.71 is: 7,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.97 : 13,540.60 = 5,335.71 : x
  2. Step 2: Convert to fraction form
    9,811.97/13,540.60 = 5,335.71/x
  3. Step 3: Cross multiply
    9,811.97x = 13,540.60 × 5,335.71
  4. Step 4: Simplify right side
    9,811.97x = 72,248,714.83
  5. Step 5: Solve for x
    x = 72,248,714.83/9,811.97
  6. Step 6: Final answer
    x = 7,363.32

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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.