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Finding the Fourth Proportional to 6,652.59, 9,978.13 and 1,722.66

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Solution

The fourth proportional to 6,652.59, 9,978.13 and 1,722.66 is: 2,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.59 : 9,978.13 = 1,722.66 : x
  2. Step 2: Convert to fraction form
    6,652.59/9,978.13 = 1,722.66/x
  3. Step 3: Cross multiply
    6,652.59x = 9,978.13 × 1,722.66
  4. Step 4: Simplify right side
    6,652.59x = 17,188,925.43
  5. Step 5: Solve for x
    x = 17,188,925.43/6,652.59
  6. Step 6: Final answer
    x = 2,583.79

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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.