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Finding the Fourth Proportional to 2,913.93, 4,019.95 and 1,969.38

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Solution

The fourth proportional to 2,913.93, 4,019.95 and 1,969.38 is: 2,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.93 : 4,019.95 = 1,969.38 : x
  2. Step 2: Convert to fraction form
    2,913.93/4,019.95 = 1,969.38/x
  3. Step 3: Cross multiply
    2,913.93x = 4,019.95 × 1,969.38
  4. Step 4: Simplify right side
    2,913.93x = 7,916,809.13
  5. Step 5: Solve for x
    x = 7,916,809.13/2,913.93
  6. Step 6: Final answer
    x = 2,716.88

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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.