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Finding the Fourth Proportional to 20,856.84, 31,285 and 5,062

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Solution

The fourth proportional to 20,856.84, 31,285 and 5,062 is: 7,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,856.84 : 31,285 = 5,062 : x
  2. Step 2: Convert to fraction form
    20,856.84/31,285 = 5,062/x
  3. Step 3: Cross multiply
    20,856.84x = 31,285 × 5,062
  4. Step 4: Simplify right side
    20,856.84x = 158,364,670
  5. Step 5: Solve for x
    x = 158,364,670/20,856.84
  6. Step 6: Final answer
    x = 7,592.94

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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.