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Finding the Fourth Proportional to 2,912.90, 4,025.50 and 2,588.90

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Solution

The fourth proportional to 2,912.90, 4,025.50 and 2,588.90 is: 3,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.90 : 4,025.50 = 2,588.90 : x
  2. Step 2: Convert to fraction form
    2,912.90/4,025.50 = 2,588.90/x
  3. Step 3: Cross multiply
    2,912.90x = 4,025.50 × 2,588.90
  4. Step 4: Simplify right side
    2,912.90x = 10,421,590.35
  5. Step 5: Solve for x
    x = 10,421,590.35/2,912.90
  6. Step 6: Final answer
    x = 3,577.74

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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.