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Finding the Fourth Proportional to 2,302.87, 3,455.32 and 841.68

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Solution

The fourth proportional to 2,302.87, 3,455.32 and 841.68 is: 1,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.87 : 3,455.32 = 841.68 : x
  2. Step 2: Convert to fraction form
    2,302.87/3,455.32 = 841.68/x
  3. Step 3: Cross multiply
    2,302.87x = 3,455.32 × 841.68
  4. Step 4: Simplify right side
    2,302.87x = 2,908,273.74
  5. Step 5: Solve for x
    x = 2,908,273.74/2,302.87
  6. Step 6: Final answer
    x = 1,262.89

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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.