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Finding the Fourth Proportional to 5,175.66, 7,142.22 and 3,051.45

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Solution

The fourth proportional to 5,175.66, 7,142.22 and 3,051.45 is: 4,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.66 : 7,142.22 = 3,051.45 : x
  2. Step 2: Convert to fraction form
    5,175.66/7,142.22 = 3,051.45/x
  3. Step 3: Cross multiply
    5,175.66x = 7,142.22 × 3,051.45
  4. Step 4: Simplify right side
    5,175.66x = 21,794,127.22
  5. Step 5: Solve for x
    x = 21,794,127.22/5,175.66
  6. Step 6: Final answer
    x = 4,210.89

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