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Finding the Fourth Proportional to 5,407.91, 8,111.88 and 1,512.35

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Solution

The fourth proportional to 5,407.91, 8,111.88 and 1,512.35 is: 2,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.91 : 8,111.88 = 1,512.35 : x
  2. Step 2: Convert to fraction form
    5,407.91/8,111.88 = 1,512.35/x
  3. Step 3: Cross multiply
    5,407.91x = 8,111.88 × 1,512.35
  4. Step 4: Simplify right side
    5,407.91x = 12,268,001.72
  5. Step 5: Solve for x
    x = 12,268,001.72/5,407.91
  6. Step 6: Final answer
    x = 2,268.53

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.