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Finding the Fourth Proportional to 3,185.19, 4,777.93 and 876.69

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Solution

The fourth proportional to 3,185.19, 4,777.93 and 876.69 is: 1,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.19 : 4,777.93 = 876.69 : x
  2. Step 2: Convert to fraction form
    3,185.19/4,777.93 = 876.69/x
  3. Step 3: Cross multiply
    3,185.19x = 4,777.93 × 876.69
  4. Step 4: Simplify right side
    3,185.19x = 4,188,763.45
  5. Step 5: Solve for x
    x = 4,188,763.45/3,185.19
  6. Step 6: Final answer
    x = 1,315.07

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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.