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Finding the Fourth Proportional to 19,909.85, 27,475.61 and 10,958

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Solution

The fourth proportional to 19,909.85, 27,475.61 and 10,958 is: 15,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.85 : 27,475.61 = 10,958 : x
  2. Step 2: Convert to fraction form
    19,909.85/27,475.61 = 10,958/x
  3. Step 3: Cross multiply
    19,909.85x = 27,475.61 × 10,958
  4. Step 4: Simplify right side
    19,909.85x = 301,077,734.38
  5. Step 5: Solve for x
    x = 301,077,734.38/19,909.85
  6. Step 6: Final answer
    x = 15,122.05

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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.