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Finding the Fourth Proportional to 2,557.96, 3,836.70 and 826.12

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Solution

The fourth proportional to 2,557.96, 3,836.70 and 826.12 is: 1,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.96 : 3,836.70 = 826.12 : x
  2. Step 2: Convert to fraction form
    2,557.96/3,836.70 = 826.12/x
  3. Step 3: Cross multiply
    2,557.96x = 3,836.70 × 826.12
  4. Step 4: Simplify right side
    2,557.96x = 3,169,574.60
  5. Step 5: Solve for x
    x = 3,169,574.60/2,557.96
  6. Step 6: Final answer
    x = 1,239.10

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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.