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Finding the Fourth Proportional to 2,109.38, 3,164.06 and 876.10

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Solution

The fourth proportional to 2,109.38, 3,164.06 and 876.10 is: 1,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.38 : 3,164.06 = 876.10 : x
  2. Step 2: Convert to fraction form
    2,109.38/3,164.06 = 876.10/x
  3. Step 3: Cross multiply
    2,109.38x = 3,164.06 × 876.10
  4. Step 4: Simplify right side
    2,109.38x = 2,772,032.97
  5. Step 5: Solve for x
    x = 2,772,032.97/2,109.38
  6. Step 6: Final answer
    x = 1,314.15

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1.5x scale

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.