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Finding the Fourth Proportional to 2,203.68, 3,040.95 and 1,678.80

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Solution

The fourth proportional to 2,203.68, 3,040.95 and 1,678.80 is: 2,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.68 : 3,040.95 = 1,678.80 : x
  2. Step 2: Convert to fraction form
    2,203.68/3,040.95 = 1,678.80/x
  3. Step 3: Cross multiply
    2,203.68x = 3,040.95 × 1,678.80
  4. Step 4: Simplify right side
    2,203.68x = 5,105,131.66
  5. Step 5: Solve for x
    x = 5,105,131.66/2,203.68
  6. Step 6: Final answer
    x = 2,316.64

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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.