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Finding the Fourth Proportional to 6,397.60, 8,829.12 and 4,823.20

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Solution

The fourth proportional to 6,397.60, 8,829.12 and 4,823.20 is: 6,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.60 : 8,829.12 = 4,823.20 : x
  2. Step 2: Convert to fraction form
    6,397.60/8,829.12 = 4,823.20/x
  3. Step 3: Cross multiply
    6,397.60x = 8,829.12 × 4,823.20
  4. Step 4: Simplify right side
    6,397.60x = 42,584,611.58
  5. Step 5: Solve for x
    x = 42,584,611.58/6,397.60
  6. Step 6: Final answer
    x = 6,656.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.