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Finding the Fourth Proportional to 1,236.96, 1,851.80 and 910.13

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Solution

The fourth proportional to 1,236.96, 1,851.80 and 910.13 is: 1,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.96 : 1,851.80 = 910.13 : x
  2. Step 2: Convert to fraction form
    1,236.96/1,851.80 = 910.13/x
  3. Step 3: Cross multiply
    1,236.96x = 1,851.80 × 910.13
  4. Step 4: Simplify right side
    1,236.96x = 1,685,364.92
  5. Step 5: Solve for x
    x = 1,685,364.92/1,236.96
  6. Step 6: Final answer
    x = 1,362.51

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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.