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Finding the Fourth Proportional to 6,543.92, 9,815.26 and 1,864.35

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Solution

The fourth proportional to 6,543.92, 9,815.26 and 1,864.35 is: 2,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.92 : 9,815.26 = 1,864.35 : x
  2. Step 2: Convert to fraction form
    6,543.92/9,815.26 = 1,864.35/x
  3. Step 3: Cross multiply
    6,543.92x = 9,815.26 × 1,864.35
  4. Step 4: Simplify right side
    6,543.92x = 18,299,079.98
  5. Step 5: Solve for x
    x = 18,299,079.98/6,543.92
  6. Step 6: Final answer
    x = 2,796.35

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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.