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Finding the Fourth Proportional to 10,978, 15,153.48 and 6,562

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Solution

The fourth proportional to 10,978, 15,153.48 and 6,562 is: 9,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978 : 15,153.48 = 6,562 : x
  2. Step 2: Convert to fraction form
    10,978/15,153.48 = 6,562/x
  3. Step 3: Cross multiply
    10,978x = 15,153.48 × 6,562
  4. Step 4: Simplify right side
    10,978x = 99,437,135.76
  5. Step 5: Solve for x
    x = 99,437,135.76/10,978
  6. Step 6: Final answer
    x = 9,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.