Home / 1,292.24-1,948.10-1,208.72

Finding the Fourth Proportional to 1,292.24, 1,948.10 and 1,208.72

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Solution

The fourth proportional to 1,292.24, 1,948.10 and 1,208.72 is: 1,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.24 : 1,948.10 = 1,208.72 : x
  2. Step 2: Convert to fraction form
    1,292.24/1,948.10 = 1,208.72/x
  3. Step 3: Cross multiply
    1,292.24x = 1,948.10 × 1,208.72
  4. Step 4: Simplify right side
    1,292.24x = 2,354,707.43
  5. Step 5: Solve for x
    x = 2,354,707.43/1,292.24
  6. Step 6: Final answer
    x = 1,822.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.