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Finding the Fourth Proportional to 9,159.66, 12,641.10 and 5,181.48

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Solution

The fourth proportional to 9,159.66, 12,641.10 and 5,181.48 is: 7,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.66 : 12,641.10 = 5,181.48 : x
  2. Step 2: Convert to fraction form
    9,159.66/12,641.10 = 5,181.48/x
  3. Step 3: Cross multiply
    9,159.66x = 12,641.10 × 5,181.48
  4. Step 4: Simplify right side
    9,159.66x = 65,499,606.83
  5. Step 5: Solve for x
    x = 65,499,606.83/9,159.66
  6. Step 6: Final answer
    x = 7,150.88

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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.