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Finding the Fourth Proportional to 1,309.52, 1,954.76 and 1,211.92

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Solution

The fourth proportional to 1,309.52, 1,954.76 and 1,211.92 is: 1,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.52 : 1,954.76 = 1,211.92 : x
  2. Step 2: Convert to fraction form
    1,309.52/1,954.76 = 1,211.92/x
  3. Step 3: Cross multiply
    1,309.52x = 1,954.76 × 1,211.92
  4. Step 4: Simplify right side
    1,309.52x = 2,369,001.79
  5. Step 5: Solve for x
    x = 2,369,001.79/1,309.52
  6. Step 6: Final answer
    x = 1,809.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.