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Finding the Fourth Proportional to 1,502.04, 2,072.74 and 881

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Solution

The fourth proportional to 1,502.04, 2,072.74 and 881 is: 1,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.04 : 2,072.74 = 881 : x
  2. Step 2: Convert to fraction form
    1,502.04/2,072.74 = 881/x
  3. Step 3: Cross multiply
    1,502.04x = 2,072.74 × 881
  4. Step 4: Simplify right side
    1,502.04x = 1,826,083.94
  5. Step 5: Solve for x
    x = 1,826,083.94/1,502.04
  6. Step 6: Final answer
    x = 1,215.74

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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.