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Finding the Fourth Proportional to 2,106.32, 3,159.44 and 645.43

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Solution

The fourth proportional to 2,106.32, 3,159.44 and 645.43 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.32 : 3,159.44 = 645.43 : x
  2. Step 2: Convert to fraction form
    2,106.32/3,159.44 = 645.43/x
  3. Step 3: Cross multiply
    2,106.32x = 3,159.44 × 645.43
  4. Step 4: Simplify right side
    2,106.32x = 2,039,197.36
  5. Step 5: Solve for x
    x = 2,039,197.36/2,106.32
  6. Step 6: Final answer
    x = 968.13

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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.