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Finding the Fourth Proportional to 2,048.48, 3,073.40 and 878.80

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Solution

The fourth proportional to 2,048.48, 3,073.40 and 878.80 is: 1,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.48 : 3,073.40 = 878.80 : x
  2. Step 2: Convert to fraction form
    2,048.48/3,073.40 = 878.80/x
  3. Step 3: Cross multiply
    2,048.48x = 3,073.40 × 878.80
  4. Step 4: Simplify right side
    2,048.48x = 2,700,903.92
  5. Step 5: Solve for x
    x = 2,700,903.92/2,048.48
  6. Step 6: Final answer
    x = 1,318.49

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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.