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Finding the Fourth Proportional to 23,439.78, 35,158.86 and 7,857

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Solution

The fourth proportional to 23,439.78, 35,158.86 and 7,857 is: 11,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,439.78 : 35,158.86 = 7,857 : x
  2. Step 2: Convert to fraction form
    23,439.78/35,158.86 = 7,857/x
  3. Step 3: Cross multiply
    23,439.78x = 35,158.86 × 7,857
  4. Step 4: Simplify right side
    23,439.78x = 276,243,163.02
  5. Step 5: Solve for x
    x = 276,243,163.02/23,439.78
  6. Step 6: Final answer
    x = 11,785.23

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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.