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Finding the Fourth Proportional to 20,428, 30,641.76 and 10,586.56

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Solution

The fourth proportional to 20,428, 30,641.76 and 10,586.56 is: 15,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 30,641.76 = 10,586.56 : x
  2. Step 2: Convert to fraction form
    20,428/30,641.76 = 10,586.56/x
  3. Step 3: Cross multiply
    20,428x = 30,641.76 × 10,586.56
  4. Step 4: Simplify right side
    20,428x = 324,390,830.75
  5. Step 5: Solve for x
    x = 324,390,830.75/20,428
  6. Step 6: Final answer
    x = 15,879.72

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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.