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Finding the Fourth Proportional to 10,885.80, 16,334.10 and 6,209.40

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Solution

The fourth proportional to 10,885.80, 16,334.10 and 6,209.40 is: 9,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.80 : 16,334.10 = 6,209.40 : x
  2. Step 2: Convert to fraction form
    10,885.80/16,334.10 = 6,209.40/x
  3. Step 3: Cross multiply
    10,885.80x = 16,334.10 × 6,209.40
  4. Step 4: Simplify right side
    10,885.80x = 101,424,960.54
  5. Step 5: Solve for x
    x = 101,424,960.54/10,885.80
  6. Step 6: Final answer
    x = 9,317.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.