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Finding the Fourth Proportional to 10,205.12, 14,085 and 6,229.76

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Solution

The fourth proportional to 10,205.12, 14,085 and 6,229.76 is: 8,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.12 : 14,085 = 6,229.76 : x
  2. Step 2: Convert to fraction form
    10,205.12/14,085 = 6,229.76/x
  3. Step 3: Cross multiply
    10,205.12x = 14,085 × 6,229.76
  4. Step 4: Simplify right side
    10,205.12x = 87,746,169.60
  5. Step 5: Solve for x
    x = 87,746,169.60/10,205.12
  6. Step 6: Final answer
    x = 8,598.25

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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.