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Finding the Fourth Proportional to 15,708, 23,568.06 and 5,319.72

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Solution

The fourth proportional to 15,708, 23,568.06 and 5,319.72 is: 7,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708 : 23,568.06 = 5,319.72 : x
  2. Step 2: Convert to fraction form
    15,708/23,568.06 = 5,319.72/x
  3. Step 3: Cross multiply
    15,708x = 23,568.06 × 5,319.72
  4. Step 4: Simplify right side
    15,708x = 125,375,480.14
  5. Step 5: Solve for x
    x = 125,375,480.14/15,708
  6. Step 6: Final answer
    x = 7,981.63

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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.