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Finding the Fourth Proportional to 1,412.65, 1,948.48 and 993.88

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Solution

The fourth proportional to 1,412.65, 1,948.48 and 993.88 is: 1,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.65 : 1,948.48 = 993.88 : x
  2. Step 2: Convert to fraction form
    1,412.65/1,948.48 = 993.88/x
  3. Step 3: Cross multiply
    1,412.65x = 1,948.48 × 993.88
  4. Step 4: Simplify right side
    1,412.65x = 1,936,555.30
  5. Step 5: Solve for x
    x = 1,936,555.30/1,412.65
  6. Step 6: Final answer
    x = 1,370.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.