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Finding the Fourth Proportional to 3,564.29, 4,918.64 and 1,970.90

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Solution

The fourth proportional to 3,564.29, 4,918.64 and 1,970.90 is: 2,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.29 : 4,918.64 = 1,970.90 : x
  2. Step 2: Convert to fraction form
    3,564.29/4,918.64 = 1,970.90/x
  3. Step 3: Cross multiply
    3,564.29x = 4,918.64 × 1,970.90
  4. Step 4: Simplify right side
    3,564.29x = 9,694,113.13
  5. Step 5: Solve for x
    x = 9,694,113.13/3,564.29
  6. Step 6: Final answer
    x = 2,719.79

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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.