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Finding the Fourth Proportional to 2,106.07, 3,158.98 and 645.22

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Solution

The fourth proportional to 2,106.07, 3,158.98 and 645.22 is: 967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.07 : 3,158.98 = 645.22 : x
  2. Step 2: Convert to fraction form
    2,106.07/3,158.98 = 645.22/x
  3. Step 3: Cross multiply
    2,106.07x = 3,158.98 × 645.22
  4. Step 4: Simplify right side
    2,106.07x = 2,038,243.04
  5. Step 5: Solve for x
    x = 2,038,243.04/2,106.07
  6. Step 6: Final answer
    x = 967.80

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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.