Home / 5,200.44-7,802.15-2,428.75

Finding the Fourth Proportional to 5,200.44, 7,802.15 and 2,428.75

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Solution

The fourth proportional to 5,200.44, 7,802.15 and 2,428.75 is: 3,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.44 : 7,802.15 = 2,428.75 : x
  2. Step 2: Convert to fraction form
    5,200.44/7,802.15 = 2,428.75/x
  3. Step 3: Cross multiply
    5,200.44x = 7,802.15 × 2,428.75
  4. Step 4: Simplify right side
    5,200.44x = 18,949,471.81
  5. Step 5: Solve for x
    x = 18,949,471.81/5,200.44
  6. Step 6: Final answer
    x = 3,643.82

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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.