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Finding the Fourth Proportional to 6,461.52, 9,679.20 and 4,146

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Solution

The fourth proportional to 6,461.52, 9,679.20 and 4,146 is: 6,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.52 : 9,679.20 = 4,146 : x
  2. Step 2: Convert to fraction form
    6,461.52/9,679.20 = 4,146/x
  3. Step 3: Cross multiply
    6,461.52x = 9,679.20 × 4,146
  4. Step 4: Simplify right side
    6,461.52x = 40,129,963.20
  5. Step 5: Solve for x
    x = 40,129,963.20/6,461.52
  6. Step 6: Final answer
    x = 6,210.61

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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.