Home / 10,505.30-15,743.10-5,827.38

Finding the Fourth Proportional to 10,505.30, 15,743.10 and 5,827.38

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Solution

The fourth proportional to 10,505.30, 15,743.10 and 5,827.38 is: 8,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.30 : 15,743.10 = 5,827.38 : x
  2. Step 2: Convert to fraction form
    10,505.30/15,743.10 = 5,827.38/x
  3. Step 3: Cross multiply
    10,505.30x = 15,743.10 × 5,827.38
  4. Step 4: Simplify right side
    10,505.30x = 91,741,026.08
  5. Step 5: Solve for x
    x = 91,741,026.08/10,505.30
  6. Step 6: Final answer
    x = 8,732.83

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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.