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Finding the Fourth Proportional to 3,315.06, 4,972.21 and 849.90

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Solution

The fourth proportional to 3,315.06, 4,972.21 and 849.90 is: 1,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.06 : 4,972.21 = 849.90 : x
  2. Step 2: Convert to fraction form
    3,315.06/4,972.21 = 849.90/x
  3. Step 3: Cross multiply
    3,315.06x = 4,972.21 × 849.90
  4. Step 4: Simplify right side
    3,315.06x = 4,225,881.28
  5. Step 5: Solve for x
    x = 4,225,881.28/3,315.06
  6. Step 6: Final answer
    x = 1,274.75

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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.