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Finding the Fourth Proportional to 20,713, 28,584 and 11,281.57

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Solution

The fourth proportional to 20,713, 28,584 and 11,281.57 is: 15,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713 : 28,584 = 11,281.57 : x
  2. Step 2: Convert to fraction form
    20,713/28,584 = 11,281.57/x
  3. Step 3: Cross multiply
    20,713x = 28,584 × 11,281.57
  4. Step 4: Simplify right side
    20,713x = 322,472,396.88
  5. Step 5: Solve for x
    x = 322,472,396.88/20,713
  6. Step 6: Final answer
    x = 15,568.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.