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Finding the Fourth Proportional to 1,314.81, 1,973.03 and 1,191.65

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Solution

The fourth proportional to 1,314.81, 1,973.03 and 1,191.65 is: 1,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.81 : 1,973.03 = 1,191.65 : x
  2. Step 2: Convert to fraction form
    1,314.81/1,973.03 = 1,191.65/x
  3. Step 3: Cross multiply
    1,314.81x = 1,973.03 × 1,191.65
  4. Step 4: Simplify right side
    1,314.81x = 2,351,145.38
  5. Step 5: Solve for x
    x = 2,351,145.38/1,314.81
  6. Step 6: Final answer
    x = 1,788.20

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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.