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Finding the Fourth Proportional to 8,517.88, 11,746.58 and 5,641.48

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Solution

The fourth proportional to 8,517.88, 11,746.58 and 5,641.48 is: 7,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.88 : 11,746.58 = 5,641.48 : x
  2. Step 2: Convert to fraction form
    8,517.88/11,746.58 = 5,641.48/x
  3. Step 3: Cross multiply
    8,517.88x = 11,746.58 × 5,641.48
  4. Step 4: Simplify right side
    8,517.88x = 66,268,096.14
  5. Step 5: Solve for x
    x = 66,268,096.14/8,517.88
  6. Step 6: Final answer
    x = 7,779.88

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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.