Home / 5,200.78-7,802.54-1,869.37

Finding the Fourth Proportional to 5,200.78, 7,802.54 and 1,869.37

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Solution

The fourth proportional to 5,200.78, 7,802.54 and 1,869.37 is: 2,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.78 : 7,802.54 = 1,869.37 : x
  2. Step 2: Convert to fraction form
    5,200.78/7,802.54 = 1,869.37/x
  3. Step 3: Cross multiply
    5,200.78x = 7,802.54 × 1,869.37
  4. Step 4: Simplify right side
    5,200.78x = 14,585,785.84
  5. Step 5: Solve for x
    x = 14,585,785.84/5,200.78
  6. Step 6: Final answer
    x = 2,804.54

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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.