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Finding the Fourth Proportional to 25,691, 38,536.50 and 7,223

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Solution

The fourth proportional to 25,691, 38,536.50 and 7,223 is: 10,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691 : 38,536.50 = 7,223 : x
  2. Step 2: Convert to fraction form
    25,691/38,536.50 = 7,223/x
  3. Step 3: Cross multiply
    25,691x = 38,536.50 × 7,223
  4. Step 4: Simplify right side
    25,691x = 278,349,139.50
  5. Step 5: Solve for x
    x = 278,349,139.50/25,691
  6. Step 6: Final answer
    x = 10,834.50

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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.