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Finding the Fourth Proportional to 2,117.58, 3,177.33 and 963.66

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Solution

The fourth proportional to 2,117.58, 3,177.33 and 963.66 is: 1,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.58 : 3,177.33 = 963.66 : x
  2. Step 2: Convert to fraction form
    2,117.58/3,177.33 = 963.66/x
  3. Step 3: Cross multiply
    2,117.58x = 3,177.33 × 963.66
  4. Step 4: Simplify right side
    2,117.58x = 3,061,865.83
  5. Step 5: Solve for x
    x = 3,061,865.83/2,117.58
  6. Step 6: Final answer
    x = 1,445.93

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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.