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Finding the Fourth Proportional to 2,235.81, 3,354.63 and 1,002.90

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Solution

The fourth proportional to 2,235.81, 3,354.63 and 1,002.90 is: 1,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.81 : 3,354.63 = 1,002.90 : x
  2. Step 2: Convert to fraction form
    2,235.81/3,354.63 = 1,002.90/x
  3. Step 3: Cross multiply
    2,235.81x = 3,354.63 × 1,002.90
  4. Step 4: Simplify right side
    2,235.81x = 3,364,358.43
  5. Step 5: Solve for x
    x = 3,364,358.43/2,235.81
  6. Step 6: Final answer
    x = 1,504.76

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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.