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Finding the Fourth Proportional to 1,228.18, 1,837.95 and 952.51

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Solution

The fourth proportional to 1,228.18, 1,837.95 and 952.51 is: 1,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.18 : 1,837.95 = 952.51 : x
  2. Step 2: Convert to fraction form
    1,228.18/1,837.95 = 952.51/x
  3. Step 3: Cross multiply
    1,228.18x = 1,837.95 × 952.51
  4. Step 4: Simplify right side
    1,228.18x = 1,750,665.75
  5. Step 5: Solve for x
    x = 1,750,665.75/1,228.18
  6. Step 6: Final answer
    x = 1,425.41

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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.