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Finding the Fourth Proportional to 2,109.96, 3,165.08 and 877.46

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Solution

The fourth proportional to 2,109.96, 3,165.08 and 877.46 is: 1,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.96 : 3,165.08 = 877.46 : x
  2. Step 2: Convert to fraction form
    2,109.96/3,165.08 = 877.46/x
  3. Step 3: Cross multiply
    2,109.96x = 3,165.08 × 877.46
  4. Step 4: Simplify right side
    2,109.96x = 2,777,231.10
  5. Step 5: Solve for x
    x = 2,777,231.10/2,109.96
  6. Step 6: Final answer
    x = 1,316.25

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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.