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Finding the Fourth Proportional to 2,906.32, 4,354.02 and 1,443.76

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Solution

The fourth proportional to 2,906.32, 4,354.02 and 1,443.76 is: 2,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.32 : 4,354.02 = 1,443.76 : x
  2. Step 2: Convert to fraction form
    2,906.32/4,354.02 = 1,443.76/x
  3. Step 3: Cross multiply
    2,906.32x = 4,354.02 × 1,443.76
  4. Step 4: Simplify right side
    2,906.32x = 6,286,159.92
  5. Step 5: Solve for x
    x = 6,286,159.92/2,906.32
  6. Step 6: Final answer
    x = 2,162.93

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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.