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Finding the Fourth Proportional to 6,543.12, 9,815.28 and 2,100.92

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Solution

The fourth proportional to 6,543.12, 9,815.28 and 2,100.92 is: 3,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.12 : 9,815.28 = 2,100.92 : x
  2. Step 2: Convert to fraction form
    6,543.12/9,815.28 = 2,100.92/x
  3. Step 3: Cross multiply
    6,543.12x = 9,815.28 × 2,100.92
  4. Step 4: Simplify right side
    6,543.12x = 20,621,118.06
  5. Step 5: Solve for x
    x = 20,621,118.06/6,543.12
  6. Step 6: Final answer
    x = 3,151.57

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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.