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Finding the Fourth Proportional to 2,729.49, 4,094.39 and 974.40

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Solution

The fourth proportional to 2,729.49, 4,094.39 and 974.40 is: 1,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.49 : 4,094.39 = 974.40 : x
  2. Step 2: Convert to fraction form
    2,729.49/4,094.39 = 974.40/x
  3. Step 3: Cross multiply
    2,729.49x = 4,094.39 × 974.40
  4. Step 4: Simplify right side
    2,729.49x = 3,989,573.62
  5. Step 5: Solve for x
    x = 3,989,573.62/2,729.49
  6. Step 6: Final answer
    x = 1,461.66

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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.