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Finding the Fourth Proportional to 3,154.78, 4,732.16 and 3,150.22

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Solution

The fourth proportional to 3,154.78, 4,732.16 and 3,150.22 is: 4,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.78 : 4,732.16 = 3,150.22 : x
  2. Step 2: Convert to fraction form
    3,154.78/4,732.16 = 3,150.22/x
  3. Step 3: Cross multiply
    3,154.78x = 4,732.16 × 3,150.22
  4. Step 4: Simplify right side
    3,154.78x = 14,907,345.08
  5. Step 5: Solve for x
    x = 14,907,345.08/3,154.78
  6. Step 6: Final answer
    x = 4,725.32

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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.