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Finding the Fourth Proportional to 2,106.78, 3,160.14 and 645.92

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Solution

The fourth proportional to 2,106.78, 3,160.14 and 645.92 is: 968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.78 : 3,160.14 = 645.92 : x
  2. Step 2: Convert to fraction form
    2,106.78/3,160.14 = 645.92/x
  3. Step 3: Cross multiply
    2,106.78x = 3,160.14 × 645.92
  4. Step 4: Simplify right side
    2,106.78x = 2,041,197.63
  5. Step 5: Solve for x
    x = 2,041,197.63/2,106.78
  6. Step 6: Final answer
    x = 968.87

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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.