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Finding the Fourth Proportional to 5,657.60, 8,488.80 and 2,734.40

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Solution

The fourth proportional to 5,657.60, 8,488.80 and 2,734.40 is: 4,102.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.60 : 8,488.80 = 2,734.40 : x
  2. Step 2: Convert to fraction form
    5,657.60/8,488.80 = 2,734.40/x
  3. Step 3: Cross multiply
    5,657.60x = 8,488.80 × 2,734.40
  4. Step 4: Simplify right side
    5,657.60x = 23,211,774.72
  5. Step 5: Solve for x
    x = 23,211,774.72/5,657.60
  6. Step 6: Final answer
    x = 4,102.76

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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.