Home / 5,202.78-7,804.32-1,307.26

Finding the Fourth Proportional to 5,202.78, 7,804.32 and 1,307.26

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Solution

The fourth proportional to 5,202.78, 7,804.32 and 1,307.26 is: 1,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.78 : 7,804.32 = 1,307.26 : x
  2. Step 2: Convert to fraction form
    5,202.78/7,804.32 = 1,307.26/x
  3. Step 3: Cross multiply
    5,202.78x = 7,804.32 × 1,307.26
  4. Step 4: Simplify right side
    5,202.78x = 10,202,275.36
  5. Step 5: Solve for x
    x = 10,202,275.36/5,202.78
  6. Step 6: Final answer
    x = 1,960.93

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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.