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Finding the Fourth Proportional to 2,898.59, 3,993.80 and 1,965.47

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Solution

The fourth proportional to 2,898.59, 3,993.80 and 1,965.47 is: 2,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.59 : 3,993.80 = 1,965.47 : x
  2. Step 2: Convert to fraction form
    2,898.59/3,993.80 = 1,965.47/x
  3. Step 3: Cross multiply
    2,898.59x = 3,993.80 × 1,965.47
  4. Step 4: Simplify right side
    2,898.59x = 7,849,684.26
  5. Step 5: Solve for x
    x = 7,849,684.26/2,898.59
  6. Step 6: Final answer
    x = 2,708.10

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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.