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Finding the Fourth Proportional to 25,857.84, 38,785.99 and 7,139.02

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Solution

The fourth proportional to 25,857.84, 38,785.99 and 7,139.02 is: 10,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.84 : 38,785.99 = 7,139.02 : x
  2. Step 2: Convert to fraction form
    25,857.84/38,785.99 = 7,139.02/x
  3. Step 3: Cross multiply
    25,857.84x = 38,785.99 × 7,139.02
  4. Step 4: Simplify right side
    25,857.84x = 276,893,922.63
  5. Step 5: Solve for x
    x = 276,893,922.63/25,857.84
  6. Step 6: Final answer
    x = 10,708.32

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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.