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Finding the Fourth Proportional to 6,652.31, 9,978.40 and 2,548.31

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Solution

The fourth proportional to 6,652.31, 9,978.40 and 2,548.31 is: 3,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.31 : 9,978.40 = 2,548.31 : x
  2. Step 2: Convert to fraction form
    6,652.31/9,978.40 = 2,548.31/x
  3. Step 3: Cross multiply
    6,652.31x = 9,978.40 × 2,548.31
  4. Step 4: Simplify right side
    6,652.31x = 25,428,056.50
  5. Step 5: Solve for x
    x = 25,428,056.50/6,652.31
  6. Step 6: Final answer
    x = 3,822.44

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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.