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Finding the Fourth Proportional to 10,299.30, 15,449.04 and 6,811.68

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Solution

The fourth proportional to 10,299.30, 15,449.04 and 6,811.68 is: 10,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.30 : 15,449.04 = 6,811.68 : x
  2. Step 2: Convert to fraction form
    10,299.30/15,449.04 = 6,811.68/x
  3. Step 3: Cross multiply
    10,299.30x = 15,449.04 × 6,811.68
  4. Step 4: Simplify right side
    10,299.30x = 105,233,916.79
  5. Step 5: Solve for x
    x = 105,233,916.79/10,299.30
  6. Step 6: Final answer
    x = 10,217.58

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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.