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Finding the Fourth Proportional to 6,532.68, 9,800.10 and 3,068.04

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Solution

The fourth proportional to 6,532.68, 9,800.10 and 3,068.04 is: 4,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.68 : 9,800.10 = 3,068.04 : x
  2. Step 2: Convert to fraction form
    6,532.68/9,800.10 = 3,068.04/x
  3. Step 3: Cross multiply
    6,532.68x = 9,800.10 × 3,068.04
  4. Step 4: Simplify right side
    6,532.68x = 30,067,098.80
  5. Step 5: Solve for x
    x = 30,067,098.80/6,532.68
  6. Step 6: Final answer
    x = 4,602.57

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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.