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Finding the Fourth Proportional to 10,361, 14,298 and 5,645.24

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Solution

The fourth proportional to 10,361, 14,298 and 5,645.24 is: 7,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361 : 14,298 = 5,645.24 : x
  2. Step 2: Convert to fraction form
    10,361/14,298 = 5,645.24/x
  3. Step 3: Cross multiply
    10,361x = 14,298 × 5,645.24
  4. Step 4: Simplify right side
    10,361x = 80,715,641.52
  5. Step 5: Solve for x
    x = 80,715,641.52/10,361
  6. Step 6: Final answer
    x = 7,790.33

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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.