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Finding the Fourth Proportional to 3,185.34, 4,778.01 and 876.84

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Solution

The fourth proportional to 3,185.34, 4,778.01 and 876.84 is: 1,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.34 : 4,778.01 = 876.84 : x
  2. Step 2: Convert to fraction form
    3,185.34/4,778.01 = 876.84/x
  3. Step 3: Cross multiply
    3,185.34x = 4,778.01 × 876.84
  4. Step 4: Simplify right side
    3,185.34x = 4,189,550.29
  5. Step 5: Solve for x
    x = 4,189,550.29/3,185.34
  6. Step 6: Final answer
    x = 1,315.26

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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.