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Finding the Fourth Proportional to 2,702.48, 4,053.72 and 969.86

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Solution

The fourth proportional to 2,702.48, 4,053.72 and 969.86 is: 1,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.48 : 4,053.72 = 969.86 : x
  2. Step 2: Convert to fraction form
    2,702.48/4,053.72 = 969.86/x
  3. Step 3: Cross multiply
    2,702.48x = 4,053.72 × 969.86
  4. Step 4: Simplify right side
    2,702.48x = 3,931,540.88
  5. Step 5: Solve for x
    x = 3,931,540.88/2,702.48
  6. Step 6: Final answer
    x = 1,454.79

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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.