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Finding the Fourth Proportional to 20,281.78, 27,986.08 and 11,328.15

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Solution

The fourth proportional to 20,281.78, 27,986.08 and 11,328.15 is: 15,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.78 : 27,986.08 = 11,328.15 : x
  2. Step 2: Convert to fraction form
    20,281.78/27,986.08 = 11,328.15/x
  3. Step 3: Cross multiply
    20,281.78x = 27,986.08 × 11,328.15
  4. Step 4: Simplify right side
    20,281.78x = 317,030,512.15
  5. Step 5: Solve for x
    x = 317,030,512.15/20,281.78
  6. Step 6: Final answer
    x = 15,631.30

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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.