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Finding the Fourth Proportional to 15,209.55, 20,977.12 and 9,241.10

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Solution

The fourth proportional to 15,209.55, 20,977.12 and 9,241.10 is: 12,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.55 : 20,977.12 = 9,241.10 : x
  2. Step 2: Convert to fraction form
    15,209.55/20,977.12 = 9,241.10/x
  3. Step 3: Cross multiply
    15,209.55x = 20,977.12 × 9,241.10
  4. Step 4: Simplify right side
    15,209.55x = 193,851,663.63
  5. Step 5: Solve for x
    x = 193,851,663.63/15,209.55
  6. Step 6: Final answer
    x = 12,745.39

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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.