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Finding the Fourth Proportional to 3,342.08, 5,012.97 and 876.84

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Solution

The fourth proportional to 3,342.08, 5,012.97 and 876.84 is: 1,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.08 : 5,012.97 = 876.84 : x
  2. Step 2: Convert to fraction form
    3,342.08/5,012.97 = 876.84/x
  3. Step 3: Cross multiply
    3,342.08x = 5,012.97 × 876.84
  4. Step 4: Simplify right side
    3,342.08x = 4,395,572.61
  5. Step 5: Solve for x
    x = 4,395,572.61/3,342.08
  6. Step 6: Final answer
    x = 1,315.22

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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.