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Finding the Fourth Proportional to 15,754.71, 23,628.81 and 7,431.15

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Solution

The fourth proportional to 15,754.71, 23,628.81 and 7,431.15 is: 11,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.71 : 23,628.81 = 7,431.15 : x
  2. Step 2: Convert to fraction form
    15,754.71/23,628.81 = 7,431.15/x
  3. Step 3: Cross multiply
    15,754.71x = 23,628.81 × 7,431.15
  4. Step 4: Simplify right side
    15,754.71x = 175,589,231.43
  5. Step 5: Solve for x
    x = 175,589,231.43/15,754.71
  6. Step 6: Final answer
    x = 11,145.19

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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.