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Finding the Fourth Proportional to 2,337.94, 3,226.36 and 1,290

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Solution

The fourth proportional to 2,337.94, 3,226.36 and 1,290 is: 1,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.94 : 3,226.36 = 1,290 : x
  2. Step 2: Convert to fraction form
    2,337.94/3,226.36 = 1,290/x
  3. Step 3: Cross multiply
    2,337.94x = 3,226.36 × 1,290
  4. Step 4: Simplify right side
    2,337.94x = 4,162,004.40
  5. Step 5: Solve for x
    x = 4,162,004.40/2,337.94
  6. Step 6: Final answer
    x = 1,780.20

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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.