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Finding the Fourth Proportional to 5,630.56, 7,770.17 and 3,078.32

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Solution

The fourth proportional to 5,630.56, 7,770.17 and 3,078.32 is: 4,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.56 : 7,770.17 = 3,078.32 : x
  2. Step 2: Convert to fraction form
    5,630.56/7,770.17 = 3,078.32/x
  3. Step 3: Cross multiply
    5,630.56x = 7,770.17 × 3,078.32
  4. Step 4: Simplify right side
    5,630.56x = 23,919,073.75
  5. Step 5: Solve for x
    x = 23,919,073.75/5,630.56
  6. Step 6: Final answer
    x = 4,248.08

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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.