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Finding the Fourth Proportional to 3,471.40, 5,200.40 and 2,690.96

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Solution

The fourth proportional to 3,471.40, 5,200.40 and 2,690.96 is: 4,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.40 : 5,200.40 = 2,690.96 : x
  2. Step 2: Convert to fraction form
    3,471.40/5,200.40 = 2,690.96/x
  3. Step 3: Cross multiply
    3,471.40x = 5,200.40 × 2,690.96
  4. Step 4: Simplify right side
    3,471.40x = 13,994,068.38
  5. Step 5: Solve for x
    x = 13,994,068.38/3,471.40
  6. Step 6: Final answer
    x = 4,031.25

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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.