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Finding the Fourth Proportional to 15,432, 23,143.22 and 5,570

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Solution

The fourth proportional to 15,432, 23,143.22 and 5,570 is: 8,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,432 : 23,143.22 = 5,570 : x
  2. Step 2: Convert to fraction form
    15,432/23,143.22 = 5,570/x
  3. Step 3: Cross multiply
    15,432x = 23,143.22 × 5,570
  4. Step 4: Simplify right side
    15,432x = 128,907,735.40
  5. Step 5: Solve for x
    x = 128,907,735.40/15,432
  6. Step 6: Final answer
    x = 8,353.27

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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.