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Finding the Fourth Proportional to 8,577.60, 12,888 and 5,459.04

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Solution

The fourth proportional to 8,577.60, 12,888 and 5,459.04 is: 8,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.60 : 12,888 = 5,459.04 : x
  2. Step 2: Convert to fraction form
    8,577.60/12,888 = 5,459.04/x
  3. Step 3: Cross multiply
    8,577.60x = 12,888 × 5,459.04
  4. Step 4: Simplify right side
    8,577.60x = 70,356,107.52
  5. Step 5: Solve for x
    x = 70,356,107.52/8,577.60
  6. Step 6: Final answer
    x = 8,202.31

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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.