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Finding the Fourth Proportional to 3,119.20, 4,678.76 and 898.09

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Solution

The fourth proportional to 3,119.20, 4,678.76 and 898.09 is: 1,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.20 : 4,678.76 = 898.09 : x
  2. Step 2: Convert to fraction form
    3,119.20/4,678.76 = 898.09/x
  3. Step 3: Cross multiply
    3,119.20x = 4,678.76 × 898.09
  4. Step 4: Simplify right side
    3,119.20x = 4,201,947.57
  5. Step 5: Solve for x
    x = 4,201,947.57/3,119.20
  6. Step 6: Final answer
    x = 1,347.12

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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.