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Finding the Fourth Proportional to 8,617, 12,925.60 and 2,773.60

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Solution

The fourth proportional to 8,617, 12,925.60 and 2,773.60 is: 4,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617 : 12,925.60 = 2,773.60 : x
  2. Step 2: Convert to fraction form
    8,617/12,925.60 = 2,773.60/x
  3. Step 3: Cross multiply
    8,617x = 12,925.60 × 2,773.60
  4. Step 4: Simplify right side
    8,617x = 35,850,444.16
  5. Step 5: Solve for x
    x = 35,850,444.16/8,617
  6. Step 6: Final answer
    x = 4,160.43

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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.