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Finding the Fourth Proportional to 2,902.68, 4,354.83 and 2,409.39

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Solution

The fourth proportional to 2,902.68, 4,354.83 and 2,409.39 is: 3,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.68 : 4,354.83 = 2,409.39 : x
  2. Step 2: Convert to fraction form
    2,902.68/4,354.83 = 2,409.39/x
  3. Step 3: Cross multiply
    2,902.68x = 4,354.83 × 2,409.39
  4. Step 4: Simplify right side
    2,902.68x = 10,492,483.85
  5. Step 5: Solve for x
    x = 10,492,483.85/2,902.68
  6. Step 6: Final answer
    x = 3,614.76

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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.