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Finding the Fourth Proportional to 5,577.60, 7,702.80 and 3,903.60

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Solution

The fourth proportional to 5,577.60, 7,702.80 and 3,903.60 is: 5,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.60 : 7,702.80 = 3,903.60 : x
  2. Step 2: Convert to fraction form
    5,577.60/7,702.80 = 3,903.60/x
  3. Step 3: Cross multiply
    5,577.60x = 7,702.80 × 3,903.60
  4. Step 4: Simplify right side
    5,577.60x = 30,068,650.08
  5. Step 5: Solve for x
    x = 30,068,650.08/5,577.60
  6. Step 6: Final answer
    x = 5,390.97

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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.