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Finding the Fourth Proportional to 15,914.76, 23,863.94 and 7,142.16

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Solution

The fourth proportional to 15,914.76, 23,863.94 and 7,142.16 is: 10,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.76 : 23,863.94 = 7,142.16 : x
  2. Step 2: Convert to fraction form
    15,914.76/23,863.94 = 7,142.16/x
  3. Step 3: Cross multiply
    15,914.76x = 23,863.94 × 7,142.16
  4. Step 4: Simplify right side
    15,914.76x = 170,440,077.71
  5. Step 5: Solve for x
    x = 170,440,077.71/15,914.76
  6. Step 6: Final answer
    x = 10,709.56

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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.