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Finding the Fourth Proportional to 3,315.96, 4,972.26 and 1,854.72

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Solution

The fourth proportional to 3,315.96, 4,972.26 and 1,854.72 is: 2,781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.96 : 4,972.26 = 1,854.72 : x
  2. Step 2: Convert to fraction form
    3,315.96/4,972.26 = 1,854.72/x
  3. Step 3: Cross multiply
    3,315.96x = 4,972.26 × 1,854.72
  4. Step 4: Simplify right side
    3,315.96x = 9,222,150.07
  5. Step 5: Solve for x
    x = 9,222,150.07/3,315.96
  6. Step 6: Final answer
    x = 2,781.14

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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.