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Finding the Fourth Proportional to 8,577.60, 12,867.60 and 3,647.20

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Solution

The fourth proportional to 8,577.60, 12,867.60 and 3,647.20 is: 5,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.60 : 12,867.60 = 3,647.20 : x
  2. Step 2: Convert to fraction form
    8,577.60/12,867.60 = 3,647.20/x
  3. Step 3: Cross multiply
    8,577.60x = 12,867.60 × 3,647.20
  4. Step 4: Simplify right side
    8,577.60x = 46,930,710.72
  5. Step 5: Solve for x
    x = 46,930,710.72/8,577.60
  6. Step 6: Final answer
    x = 5,471.31

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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.