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Finding the Fourth Proportional to 9,791.19, 14,687.19 and 2,865.69

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Solution

The fourth proportional to 9,791.19, 14,687.19 and 2,865.69 is: 4,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.19 : 14,687.19 = 2,865.69 : x
  2. Step 2: Convert to fraction form
    9,791.19/14,687.19 = 2,865.69/x
  3. Step 3: Cross multiply
    9,791.19x = 14,687.19 × 2,865.69
  4. Step 4: Simplify right side
    9,791.19x = 42,088,933.51
  5. Step 5: Solve for x
    x = 42,088,933.51/9,791.19
  6. Step 6: Final answer
    x = 4,298.65

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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.