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Finding the Fourth Proportional to 1,957.53, 2,930.54 and 1,306.65

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Solution

The fourth proportional to 1,957.53, 2,930.54 and 1,306.65 is: 1,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.53 : 2,930.54 = 1,306.65 : x
  2. Step 2: Convert to fraction form
    1,957.53/2,930.54 = 1,306.65/x
  3. Step 3: Cross multiply
    1,957.53x = 2,930.54 × 1,306.65
  4. Step 4: Simplify right side
    1,957.53x = 3,829,183.56
  5. Step 5: Solve for x
    x = 3,829,183.56/1,957.53
  6. Step 6: Final answer
    x = 1,956.13

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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.