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Finding the Fourth Proportional to 10,478.97, 15,715.11 and 3,457.67

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Solution

The fourth proportional to 10,478.97, 15,715.11 and 3,457.67 is: 5,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.97 : 15,715.11 = 3,457.67 : x
  2. Step 2: Convert to fraction form
    10,478.97/15,715.11 = 3,457.67/x
  3. Step 3: Cross multiply
    10,478.97x = 15,715.11 × 3,457.67
  4. Step 4: Simplify right side
    10,478.97x = 54,337,664.39
  5. Step 5: Solve for x
    x = 54,337,664.39/10,478.97
  6. Step 6: Final answer
    x = 5,185.40

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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.