Home / 3,102.84-4,653.72-1,154.70

Finding the Fourth Proportional to 3,102.84, 4,653.72 and 1,154.70

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Solution

The fourth proportional to 3,102.84, 4,653.72 and 1,154.70 is: 1,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,653.72 = 1,154.70 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,653.72 = 1,154.70/x
  3. Step 3: Cross multiply
    3,102.84x = 4,653.72 × 1,154.70
  4. Step 4: Simplify right side
    3,102.84x = 5,373,650.48
  5. Step 5: Solve for x
    x = 5,373,650.48/3,102.84
  6. Step 6: Final answer
    x = 1,731.85

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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.