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Finding the Fourth Proportional to 1,411.26, 1,947.51 and 821.83

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Solution

The fourth proportional to 1,411.26, 1,947.51 and 821.83 is: 1,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.26 : 1,947.51 = 821.83 : x
  2. Step 2: Convert to fraction form
    1,411.26/1,947.51 = 821.83/x
  3. Step 3: Cross multiply
    1,411.26x = 1,947.51 × 821.83
  4. Step 4: Simplify right side
    1,411.26x = 1,600,522.14
  5. Step 5: Solve for x
    x = 1,600,522.14/1,411.26
  6. Step 6: Final answer
    x = 1,134.11

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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.