Home / 2,078.40-3,117.60-984.90

Finding the Fourth Proportional to 2,078.40, 3,117.60 and 984.90

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Solution

The fourth proportional to 2,078.40, 3,117.60 and 984.90 is: 1,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 3,117.60 = 984.90 : x
  2. Step 2: Convert to fraction form
    2,078.40/3,117.60 = 984.90/x
  3. Step 3: Cross multiply
    2,078.40x = 3,117.60 × 984.90
  4. Step 4: Simplify right side
    2,078.40x = 3,070,524.24
  5. Step 5: Solve for x
    x = 3,070,524.24/2,078.40
  6. Step 6: Final answer
    x = 1,477.35

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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.