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Finding the Fourth Proportional to 2,470.05, 3,408.99 and 1,408.20

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Solution

The fourth proportional to 2,470.05, 3,408.99 and 1,408.20 is: 1,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.05 : 3,408.99 = 1,408.20 : x
  2. Step 2: Convert to fraction form
    2,470.05/3,408.99 = 1,408.20/x
  3. Step 3: Cross multiply
    2,470.05x = 3,408.99 × 1,408.20
  4. Step 4: Simplify right side
    2,470.05x = 4,800,539.72
  5. Step 5: Solve for x
    x = 4,800,539.72/2,470.05
  6. Step 6: Final answer
    x = 1,943.50

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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.