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Finding the Fourth Proportional to 15,471.51, 23,211.44 and 7,144.71

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Solution

The fourth proportional to 15,471.51, 23,211.44 and 7,144.71 is: 10,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.51 : 23,211.44 = 7,144.71 : x
  2. Step 2: Convert to fraction form
    15,471.51/23,211.44 = 7,144.71/x
  3. Step 3: Cross multiply
    15,471.51x = 23,211.44 × 7,144.71
  4. Step 4: Simplify right side
    15,471.51x = 165,839,007.48
  5. Step 5: Solve for x
    x = 165,839,007.48/15,471.51
  6. Step 6: Final answer
    x = 10,718.99

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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.