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Finding the Fourth Proportional to 6,652.60, 9,978.09 and 3,364

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Solution

The fourth proportional to 6,652.60, 9,978.09 and 3,364 is: 5,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.60 : 9,978.09 = 3,364 : x
  2. Step 2: Convert to fraction form
    6,652.60/9,978.09 = 3,364/x
  3. Step 3: Cross multiply
    6,652.60x = 9,978.09 × 3,364
  4. Step 4: Simplify right side
    6,652.60x = 33,566,294.76
  5. Step 5: Solve for x
    x = 33,566,294.76/6,652.60
  6. Step 6: Final answer
    x = 5,045.59

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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.