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Finding the Fourth Proportional to 25,857.66, 38,785.72 and 7,138.84

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Solution

The fourth proportional to 25,857.66, 38,785.72 and 7,138.84 is: 10,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.66 : 38,785.72 = 7,138.84 : x
  2. Step 2: Convert to fraction form
    25,857.66/38,785.72 = 7,138.84/x
  3. Step 3: Cross multiply
    25,857.66x = 38,785.72 × 7,138.84
  4. Step 4: Simplify right side
    25,857.66x = 276,885,186.19
  5. Step 5: Solve for x
    x = 276,885,186.19/25,857.66
  6. Step 6: Final answer
    x = 10,708.05

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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.