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Finding the Fourth Proportional to 1,248.65, 1,865.07 and 971.86

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Solution

The fourth proportional to 1,248.65, 1,865.07 and 971.86 is: 1,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.65 : 1,865.07 = 971.86 : x
  2. Step 2: Convert to fraction form
    1,248.65/1,865.07 = 971.86/x
  3. Step 3: Cross multiply
    1,248.65x = 1,865.07 × 971.86
  4. Step 4: Simplify right side
    1,248.65x = 1,812,586.93
  5. Step 5: Solve for x
    x = 1,812,586.93/1,248.65
  6. Step 6: Final answer
    x = 1,451.64

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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.