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Finding the Fourth Proportional to 15,904.92, 23,853.74 and 7,142.34

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Solution

The fourth proportional to 15,904.92, 23,853.74 and 7,142.34 is: 10,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.92 : 23,853.74 = 7,142.34 : x
  2. Step 2: Convert to fraction form
    15,904.92/23,853.74 = 7,142.34/x
  3. Step 3: Cross multiply
    15,904.92x = 23,853.74 × 7,142.34
  4. Step 4: Simplify right side
    15,904.92x = 170,371,615.27
  5. Step 5: Solve for x
    x = 170,371,615.27/15,904.92
  6. Step 6: Final answer
    x = 10,711.88

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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.