Home / 2,470.40-3,409.60-1,408.32

Finding the Fourth Proportional to 2,470.40, 3,409.60 and 1,408.32

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Solution

The fourth proportional to 2,470.40, 3,409.60 and 1,408.32 is: 1,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.40 : 3,409.60 = 1,408.32 : x
  2. Step 2: Convert to fraction form
    2,470.40/3,409.60 = 1,408.32/x
  3. Step 3: Cross multiply
    2,470.40x = 3,409.60 × 1,408.32
  4. Step 4: Simplify right side
    2,470.40x = 4,801,807.87
  5. Step 5: Solve for x
    x = 4,801,807.87/2,470.40
  6. Step 6: Final answer
    x = 1,943.74

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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.