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Finding the Fourth Proportional to 6,543.50, 9,818.40 and 3,256.88

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Solution

The fourth proportional to 6,543.50, 9,818.40 and 3,256.88 is: 4,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.50 : 9,818.40 = 3,256.88 : x
  2. Step 2: Convert to fraction form
    6,543.50/9,818.40 = 3,256.88/x
  3. Step 3: Cross multiply
    6,543.50x = 9,818.40 × 3,256.88
  4. Step 4: Simplify right side
    6,543.50x = 31,977,350.59
  5. Step 5: Solve for x
    x = 31,977,350.59/6,543.50
  6. Step 6: Final answer
    x = 4,886.89

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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.