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Finding the Fourth Proportional to 1,418.88, 1,954.94 and 952.32

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Solution

The fourth proportional to 1,418.88, 1,954.94 and 952.32 is: 1,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.88 : 1,954.94 = 952.32 : x
  2. Step 2: Convert to fraction form
    1,418.88/1,954.94 = 952.32/x
  3. Step 3: Cross multiply
    1,418.88x = 1,954.94 × 952.32
  4. Step 4: Simplify right side
    1,418.88x = 1,861,728.46
  5. Step 5: Solve for x
    x = 1,861,728.46/1,418.88
  6. Step 6: Final answer
    x = 1,312.11

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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.