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Finding the Fourth Proportional to 5,175, 7,142.04 and 2,937.48

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Solution

The fourth proportional to 5,175, 7,142.04 and 2,937.48 is: 4,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175 : 7,142.04 = 2,937.48 : x
  2. Step 2: Convert to fraction form
    5,175/7,142.04 = 2,937.48/x
  3. Step 3: Cross multiply
    5,175x = 7,142.04 × 2,937.48
  4. Step 4: Simplify right side
    5,175x = 20,979,599.66
  5. Step 5: Solve for x
    x = 20,979,599.66/5,175
  6. Step 6: Final answer
    x = 4,054.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.