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Finding the Fourth Proportional to 3,314.40, 4,972.26 and 974.46

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Solution

The fourth proportional to 3,314.40, 4,972.26 and 974.46 is: 1,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.40 : 4,972.26 = 974.46 : x
  2. Step 2: Convert to fraction form
    3,314.40/4,972.26 = 974.46/x
  3. Step 3: Cross multiply
    3,314.40x = 4,972.26 × 974.46
  4. Step 4: Simplify right side
    3,314.40x = 4,845,268.48
  5. Step 5: Solve for x
    x = 4,845,268.48/3,314.40
  6. Step 6: Final answer
    x = 1,461.88

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1.5x scale

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.