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Finding the Fourth Proportional to 15,914.12, 23,856.78 and 7,144.52

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Solution

The fourth proportional to 15,914.12, 23,856.78 and 7,144.52 is: 10,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.12 : 23,856.78 = 7,144.52 : x
  2. Step 2: Convert to fraction form
    15,914.12/23,856.78 = 7,144.52/x
  3. Step 3: Cross multiply
    15,914.12x = 23,856.78 × 7,144.52
  4. Step 4: Simplify right side
    15,914.12x = 170,445,241.85
  5. Step 5: Solve for x
    x = 170,445,241.85/15,914.12
  6. Step 6: Final answer
    x = 10,710.32

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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.