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Finding the Fourth Proportional to 3,314.86, 4,972.14 and 974.78

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Solution

The fourth proportional to 3,314.86, 4,972.14 and 974.78 is: 1,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.86 : 4,972.14 = 974.78 : x
  2. Step 2: Convert to fraction form
    3,314.86/4,972.14 = 974.78/x
  3. Step 3: Cross multiply
    3,314.86x = 4,972.14 × 974.78
  4. Step 4: Simplify right side
    3,314.86x = 4,846,742.63
  5. Step 5: Solve for x
    x = 4,846,742.63/3,314.86
  6. Step 6: Final answer
    x = 1,462.13

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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.