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Finding the Fourth Proportional to 1,778.94, 2,454.98 and 993.04

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Solution

The fourth proportional to 1,778.94, 2,454.98 and 993.04 is: 1,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.94 : 2,454.98 = 993.04 : x
  2. Step 2: Convert to fraction form
    1,778.94/2,454.98 = 993.04/x
  3. Step 3: Cross multiply
    1,778.94x = 2,454.98 × 993.04
  4. Step 4: Simplify right side
    1,778.94x = 2,437,882.24
  5. Step 5: Solve for x
    x = 2,437,882.24/1,778.94
  6. Step 6: Final answer
    x = 1,370.41

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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.