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Finding the Fourth Proportional to 2,052.40, 3,080.20 and 956.90

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Solution

The fourth proportional to 2,052.40, 3,080.20 and 956.90 is: 1,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.40 : 3,080.20 = 956.90 : x
  2. Step 2: Convert to fraction form
    2,052.40/3,080.20 = 956.90/x
  3. Step 3: Cross multiply
    2,052.40x = 3,080.20 × 956.90
  4. Step 4: Simplify right side
    2,052.40x = 2,947,443.38
  5. Step 5: Solve for x
    x = 2,947,443.38/2,052.40
  6. Step 6: Final answer
    x = 1,436.10

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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.