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Finding the Fourth Proportional to 15,209.34, 20,986.48 and 8,494.64

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Solution

The fourth proportional to 15,209.34, 20,986.48 and 8,494.64 is: 11,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.34 : 20,986.48 = 8,494.64 : x
  2. Step 2: Convert to fraction form
    15,209.34/20,986.48 = 8,494.64/x
  3. Step 3: Cross multiply
    15,209.34x = 20,986.48 × 8,494.64
  4. Step 4: Simplify right side
    15,209.34x = 178,272,592.47
  5. Step 5: Solve for x
    x = 178,272,592.47/15,209.34
  6. Step 6: Final answer
    x = 11,721.26

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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.