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Finding the Fourth Proportional to 20,281.86, 27,986.20 and 11,328.22

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Solution

The fourth proportional to 20,281.86, 27,986.20 and 11,328.22 is: 15,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.86 : 27,986.20 = 11,328.22 : x
  2. Step 2: Convert to fraction form
    20,281.86/27,986.20 = 11,328.22/x
  3. Step 3: Cross multiply
    20,281.86x = 27,986.20 × 11,328.22
  4. Step 4: Simplify right side
    20,281.86x = 317,033,830.56
  5. Step 5: Solve for x
    x = 317,033,830.56/20,281.86
  6. Step 6: Final answer
    x = 15,631.40

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1.5x scale

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.