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Finding the Fourth Proportional to 2,400.80, 3,601.20 and 2,048.45

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Solution

The fourth proportional to 2,400.80, 3,601.20 and 2,048.45 is: 3,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.80 : 3,601.20 = 2,048.45 : x
  2. Step 2: Convert to fraction form
    2,400.80/3,601.20 = 2,048.45/x
  3. Step 3: Cross multiply
    2,400.80x = 3,601.20 × 2,048.45
  4. Step 4: Simplify right side
    2,400.80x = 7,376,878.14
  5. Step 5: Solve for x
    x = 7,376,878.14/2,400.80
  6. Step 6: Final answer
    x = 3,072.68

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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.