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Finding the Fourth Proportional to 6,549.55, 9,824.90 and 1,869.47

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Solution

The fourth proportional to 6,549.55, 9,824.90 and 1,869.47 is: 2,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.55 : 9,824.90 = 1,869.47 : x
  2. Step 2: Convert to fraction form
    6,549.55/9,824.90 = 1,869.47/x
  3. Step 3: Cross multiply
    6,549.55x = 9,824.90 × 1,869.47
  4. Step 4: Simplify right side
    6,549.55x = 18,367,355.80
  5. Step 5: Solve for x
    x = 18,367,355.80/6,549.55
  6. Step 6: Final answer
    x = 2,804.37

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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.