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Finding the Fourth Proportional to 1,451.19, 1,999.41 and 952.97

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Solution

The fourth proportional to 1,451.19, 1,999.41 and 952.97 is: 1,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.19 : 1,999.41 = 952.97 : x
  2. Step 2: Convert to fraction form
    1,451.19/1,999.41 = 952.97/x
  3. Step 3: Cross multiply
    1,451.19x = 1,999.41 × 952.97
  4. Step 4: Simplify right side
    1,451.19x = 1,905,367.75
  5. Step 5: Solve for x
    x = 1,905,367.75/1,451.19
  6. Step 6: Final answer
    x = 1,312.97

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1.5x scale

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.