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Finding the Fourth Proportional to 6,461.64, 9,686.68 and 3,128.00

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Solution

The fourth proportional to 6,461.64, 9,686.68 and 3,128.00 is: 4,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.64 : 9,686.68 = 3,128.00 : x
  2. Step 2: Convert to fraction form
    6,461.64/9,686.68 = 3,128.00/x
  3. Step 3: Cross multiply
    6,461.64x = 9,686.68 × 3,128.00
  4. Step 4: Simplify right side
    6,461.64x = 30,299,951.44
  5. Step 5: Solve for x
    x = 30,299,951.44/6,461.64
  6. Step 6: Final answer
    x = 4,689.20

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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.