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Finding the Fourth Proportional to 2,448.40, 3,379.02 and 1,400.44

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Solution

The fourth proportional to 2,448.40, 3,379.02 and 1,400.44 is: 1,932.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.40 : 3,379.02 = 1,400.44 : x
  2. Step 2: Convert to fraction form
    2,448.40/3,379.02 = 1,400.44/x
  3. Step 3: Cross multiply
    2,448.40x = 3,379.02 × 1,400.44
  4. Step 4: Simplify right side
    2,448.40x = 4,732,114.77
  5. Step 5: Solve for x
    x = 4,732,114.77/2,448.40
  6. Step 6: Final answer
    x = 1,932.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.