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Finding the Fourth Proportional to 2,534.30, 3,800.42 and 778.88

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Solution

The fourth proportional to 2,534.30, 3,800.42 and 778.88 is: 1,168.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.30 : 3,800.42 = 778.88 : x
  2. Step 2: Convert to fraction form
    2,534.30/3,800.42 = 778.88/x
  3. Step 3: Cross multiply
    2,534.30x = 3,800.42 × 778.88
  4. Step 4: Simplify right side
    2,534.30x = 2,960,079.66
  5. Step 5: Solve for x
    x = 2,960,079.66/2,534.30
  6. Step 6: Final answer
    x = 1,168.00

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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.