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Finding the Fourth Proportional to 1,434.90, 2,153.01 and 851.06

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Solution

The fourth proportional to 1,434.90, 2,153.01 and 851.06 is: 1,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.90 : 2,153.01 = 851.06 : x
  2. Step 2: Convert to fraction form
    1,434.90/2,153.01 = 851.06/x
  3. Step 3: Cross multiply
    1,434.90x = 2,153.01 × 851.06
  4. Step 4: Simplify right side
    1,434.90x = 1,832,329.97
  5. Step 5: Solve for x
    x = 1,832,329.97/1,434.90
  6. Step 6: Final answer
    x = 1,276.97

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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.