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Finding the Fourth Proportional to 1,221.63, 1,836.48 and 947.85

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Solution

The fourth proportional to 1,221.63, 1,836.48 and 947.85 is: 1,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.63 : 1,836.48 = 947.85 : x
  2. Step 2: Convert to fraction form
    1,221.63/1,836.48 = 947.85/x
  3. Step 3: Cross multiply
    1,221.63x = 1,836.48 × 947.85
  4. Step 4: Simplify right side
    1,221.63x = 1,740,707.57
  5. Step 5: Solve for x
    x = 1,740,707.57/1,221.63
  6. Step 6: Final answer
    x = 1,424.91

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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.