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Finding the Fourth Proportional to 9,991.16, 13,787.08 and 5,514.92

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Solution

The fourth proportional to 9,991.16, 13,787.08 and 5,514.92 is: 7,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.16 : 13,787.08 = 5,514.92 : x
  2. Step 2: Convert to fraction form
    9,991.16/13,787.08 = 5,514.92/x
  3. Step 3: Cross multiply
    9,991.16x = 13,787.08 × 5,514.92
  4. Step 4: Simplify right side
    9,991.16x = 76,034,643.23
  5. Step 5: Solve for x
    x = 76,034,643.23/9,991.16
  6. Step 6: Final answer
    x = 7,610.19

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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.