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Finding the Fourth Proportional to 10,100, 15,150.54 and 3,175.04

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Solution

The fourth proportional to 10,100, 15,150.54 and 3,175.04 is: 4,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 15,150.54 = 3,175.04 : x
  2. Step 2: Convert to fraction form
    10,100/15,150.54 = 3,175.04/x
  3. Step 3: Cross multiply
    10,100x = 15,150.54 × 3,175.04
  4. Step 4: Simplify right side
    10,100x = 48,103,570.52
  5. Step 5: Solve for x
    x = 48,103,570.52/10,100
  6. Step 6: Final answer
    x = 4,762.73

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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.