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Finding the Fourth Proportional to 1,411.13, 1,947.36 and 851.48

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Solution

The fourth proportional to 1,411.13, 1,947.36 and 851.48 is: 1,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.13 : 1,947.36 = 851.48 : x
  2. Step 2: Convert to fraction form
    1,411.13/1,947.36 = 851.48/x
  3. Step 3: Cross multiply
    1,411.13x = 1,947.36 × 851.48
  4. Step 4: Simplify right side
    1,411.13x = 1,658,128.36
  5. Step 5: Solve for x
    x = 1,658,128.36/1,411.13
  6. Step 6: Final answer
    x = 1,175.04

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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.