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Finding the Fourth Proportional to 2,957.84, 4,082.13 and 1,962.75

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Solution

The fourth proportional to 2,957.84, 4,082.13 and 1,962.75 is: 2,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.84 : 4,082.13 = 1,962.75 : x
  2. Step 2: Convert to fraction form
    2,957.84/4,082.13 = 1,962.75/x
  3. Step 3: Cross multiply
    2,957.84x = 4,082.13 × 1,962.75
  4. Step 4: Simplify right side
    2,957.84x = 8,012,200.66
  5. Step 5: Solve for x
    x = 8,012,200.66/2,957.84
  6. Step 6: Final answer
    x = 2,708.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.