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Finding the Fourth Proportional to 8,617, 12,925.50 and 2,774.20

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Solution

The fourth proportional to 8,617, 12,925.50 and 2,774.20 is: 4,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617 : 12,925.50 = 2,774.20 : x
  2. Step 2: Convert to fraction form
    8,617/12,925.50 = 2,774.20/x
  3. Step 3: Cross multiply
    8,617x = 12,925.50 × 2,774.20
  4. Step 4: Simplify right side
    8,617x = 35,857,922.10
  5. Step 5: Solve for x
    x = 35,857,922.10/8,617
  6. Step 6: Final answer
    x = 4,161.30

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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.