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Finding the Fourth Proportional to 2,078.87, 3,120.07 and 1,038.57

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Solution

The fourth proportional to 2,078.87, 3,120.07 and 1,038.57 is: 1,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.87 : 3,120.07 = 1,038.57 : x
  2. Step 2: Convert to fraction form
    2,078.87/3,120.07 = 1,038.57/x
  3. Step 3: Cross multiply
    2,078.87x = 3,120.07 × 1,038.57
  4. Step 4: Simplify right side
    2,078.87x = 3,240,416.30
  5. Step 5: Solve for x
    x = 3,240,416.30/2,078.87
  6. Step 6: Final answer
    x = 1,558.74

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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.