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Finding the Fourth Proportional to 10,653.24, 15,978.39 and 5,653.43

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Solution

The fourth proportional to 10,653.24, 15,978.39 and 5,653.43 is: 8,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.24 : 15,978.39 = 5,653.43 : x
  2. Step 2: Convert to fraction form
    10,653.24/15,978.39 = 5,653.43/x
  3. Step 3: Cross multiply
    10,653.24x = 15,978.39 × 5,653.43
  4. Step 4: Simplify right side
    10,653.24x = 90,332,668.20
  5. Step 5: Solve for x
    x = 90,332,668.20/10,653.24
  6. Step 6: Final answer
    x = 8,479.36

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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.