Home / 3,564-4,918.39-1,970.78

Finding the Fourth Proportional to 3,564, 4,918.39 and 1,970.78

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Solution

The fourth proportional to 3,564, 4,918.39 and 1,970.78 is: 2,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 4,918.39 = 1,970.78 : x
  2. Step 2: Convert to fraction form
    3,564/4,918.39 = 1,970.78/x
  3. Step 3: Cross multiply
    3,564x = 4,918.39 × 1,970.78
  4. Step 4: Simplify right side
    3,564x = 9,693,057.28
  5. Step 5: Solve for x
    x = 9,693,057.28/3,564
  6. Step 6: Final answer
    x = 2,719.71

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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.