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Finding the Fourth Proportional to 6,449.60, 8,820.40 and 6,276.80

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Solution

The fourth proportional to 6,449.60, 8,820.40 and 6,276.80 is: 8,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.60 : 8,820.40 = 6,276.80 : x
  2. Step 2: Convert to fraction form
    6,449.60/8,820.40 = 6,276.80/x
  3. Step 3: Cross multiply
    6,449.60x = 8,820.40 × 6,276.80
  4. Step 4: Simplify right side
    6,449.60x = 55,363,886.72
  5. Step 5: Solve for x
    x = 55,363,886.72/6,449.60
  6. Step 6: Final answer
    x = 8,584.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.