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Finding the Fourth Proportional to 3,314.88, 4,972.32 and 1,775.88

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Solution

The fourth proportional to 3,314.88, 4,972.32 and 1,775.88 is: 2,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.88 : 4,972.32 = 1,775.88 : x
  2. Step 2: Convert to fraction form
    3,314.88/4,972.32 = 1,775.88/x
  3. Step 3: Cross multiply
    3,314.88x = 4,972.32 × 1,775.88
  4. Step 4: Simplify right side
    3,314.88x = 8,830,243.64
  5. Step 5: Solve for x
    x = 8,830,243.64/3,314.88
  6. Step 6: Final answer
    x = 2,663.82

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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.