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Finding the Fourth Proportional to 2,557.60, 3,837.04 and 826.40

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Solution

The fourth proportional to 2,557.60, 3,837.04 and 826.40 is: 1,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.60 : 3,837.04 = 826.40 : x
  2. Step 2: Convert to fraction form
    2,557.60/3,837.04 = 826.40/x
  3. Step 3: Cross multiply
    2,557.60x = 3,837.04 × 826.40
  4. Step 4: Simplify right side
    2,557.60x = 3,170,929.86
  5. Step 5: Solve for x
    x = 3,170,929.86/2,557.60
  6. Step 6: Final answer
    x = 1,239.81

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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.