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Finding the Fourth Proportional to 6,144.60, 9,214.08 and 1,761

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Solution

The fourth proportional to 6,144.60, 9,214.08 and 1,761 is: 2,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.60 : 9,214.08 = 1,761 : x
  2. Step 2: Convert to fraction form
    6,144.60/9,214.08 = 1,761/x
  3. Step 3: Cross multiply
    6,144.60x = 9,214.08 × 1,761
  4. Step 4: Simplify right side
    6,144.60x = 16,225,994.88
  5. Step 5: Solve for x
    x = 16,225,994.88/6,144.60
  6. Step 6: Final answer
    x = 2,640.69

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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.