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Finding the Fourth Proportional to 2,337.74, 3,226 and 1,289.80

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Solution

The fourth proportional to 2,337.74, 3,226 and 1,289.80 is: 1,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.74 : 3,226 = 1,289.80 : x
  2. Step 2: Convert to fraction form
    2,337.74/3,226 = 1,289.80/x
  3. Step 3: Cross multiply
    2,337.74x = 3,226 × 1,289.80
  4. Step 4: Simplify right side
    2,337.74x = 4,160,894.80
  5. Step 5: Solve for x
    x = 4,160,894.80/2,337.74
  6. Step 6: Final answer
    x = 1,779.88

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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.