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Finding the Fourth Proportional to 3,647.71, 5,478.15 and 3,354.67

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Solution

The fourth proportional to 3,647.71, 5,478.15 and 3,354.67 is: 5,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.71 : 5,478.15 = 3,354.67 : x
  2. Step 2: Convert to fraction form
    3,647.71/5,478.15 = 3,354.67/x
  3. Step 3: Cross multiply
    3,647.71x = 5,478.15 × 3,354.67
  4. Step 4: Simplify right side
    3,647.71x = 18,377,341.30
  5. Step 5: Solve for x
    x = 18,377,341.30/3,647.71
  6. Step 6: Final answer
    x = 5,038.06

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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.