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Finding the Fourth Proportional to 2,109.19, 3,165.19 and 876.60

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Solution

The fourth proportional to 2,109.19, 3,165.19 and 876.60 is: 1,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.19 : 3,165.19 = 876.60 : x
  2. Step 2: Convert to fraction form
    2,109.19/3,165.19 = 876.60/x
  3. Step 3: Cross multiply
    2,109.19x = 3,165.19 × 876.60
  4. Step 4: Simplify right side
    2,109.19x = 2,774,585.35
  5. Step 5: Solve for x
    x = 2,774,585.35/2,109.19
  6. Step 6: Final answer
    x = 1,315.47

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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.