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Finding the Fourth Proportional to 15,978.08, 22,049.25 and 10,012.97

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Solution

The fourth proportional to 15,978.08, 22,049.25 and 10,012.97 is: 13,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.08 : 22,049.25 = 10,012.97 : x
  2. Step 2: Convert to fraction form
    15,978.08/22,049.25 = 10,012.97/x
  3. Step 3: Cross multiply
    15,978.08x = 22,049.25 × 10,012.97
  4. Step 4: Simplify right side
    15,978.08x = 220,778,496.35
  5. Step 5: Solve for x
    x = 220,778,496.35/15,978.08
  6. Step 6: Final answer
    x = 13,817.58

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1.5x scale

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.