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Finding the Fourth Proportional to 1,655.71, 2,494.94 and 1,369.64

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Solution

The fourth proportional to 1,655.71, 2,494.94 and 1,369.64 is: 2,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.71 : 2,494.94 = 1,369.64 : x
  2. Step 2: Convert to fraction form
    1,655.71/2,494.94 = 1,369.64/x
  3. Step 3: Cross multiply
    1,655.71x = 2,494.94 × 1,369.64
  4. Step 4: Simplify right side
    1,655.71x = 3,417,169.01
  5. Step 5: Solve for x
    x = 3,417,169.01/1,655.71
  6. Step 6: Final answer
    x = 2,063.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.