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Finding the Fourth Proportional to 2,106.57, 3,159.46 and 645.33

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Solution

The fourth proportional to 2,106.57, 3,159.46 and 645.33 is: 967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.57 : 3,159.46 = 645.33 : x
  2. Step 2: Convert to fraction form
    2,106.57/3,159.46 = 645.33/x
  3. Step 3: Cross multiply
    2,106.57x = 3,159.46 × 645.33
  4. Step 4: Simplify right side
    2,106.57x = 2,038,903.35
  5. Step 5: Solve for x
    x = 2,038,903.35/2,106.57
  6. Step 6: Final answer
    x = 967.88

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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.