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Finding the Fourth Proportional to 2,655.71, 3,984.38 and 1,358.09

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Solution

The fourth proportional to 2,655.71, 3,984.38 and 1,358.09 is: 2,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.71 : 3,984.38 = 1,358.09 : x
  2. Step 2: Convert to fraction form
    2,655.71/3,984.38 = 1,358.09/x
  3. Step 3: Cross multiply
    2,655.71x = 3,984.38 × 1,358.09
  4. Step 4: Simplify right side
    2,655.71x = 5,411,146.63
  5. Step 5: Solve for x
    x = 5,411,146.63/2,655.71
  6. Step 6: Final answer
    x = 2,037.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.