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Finding the Fourth Proportional to 15,865.76, 21,883.92 and 9,241.76

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Solution

The fourth proportional to 15,865.76, 21,883.92 and 9,241.76 is: 12,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.76 : 21,883.92 = 9,241.76 : x
  2. Step 2: Convert to fraction form
    15,865.76/21,883.92 = 9,241.76/x
  3. Step 3: Cross multiply
    15,865.76x = 21,883.92 × 9,241.76
  4. Step 4: Simplify right side
    15,865.76x = 202,245,936.50
  5. Step 5: Solve for x
    x = 202,245,936.50/15,865.76
  6. Step 6: Final answer
    x = 12,747.32

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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.