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Finding the Fourth Proportional to 15,890.39, 23,820.09 and 7,568.17

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Solution

The fourth proportional to 15,890.39, 23,820.09 and 7,568.17 is: 11,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.39 : 23,820.09 = 7,568.17 : x
  2. Step 2: Convert to fraction form
    15,890.39/23,820.09 = 7,568.17/x
  3. Step 3: Cross multiply
    15,890.39x = 23,820.09 × 7,568.17
  4. Step 4: Simplify right side
    15,890.39x = 180,274,490.54
  5. Step 5: Solve for x
    x = 180,274,490.54/15,890.39
  6. Step 6: Final answer
    x = 11,344.88

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1.5x scale

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.