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Finding the Fourth Proportional to 5,142.64, 7,097.88 and 3,048

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Solution

The fourth proportional to 5,142.64, 7,097.88 and 3,048 is: 4,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.64 : 7,097.88 = 3,048 : x
  2. Step 2: Convert to fraction form
    5,142.64/7,097.88 = 3,048/x
  3. Step 3: Cross multiply
    5,142.64x = 7,097.88 × 3,048
  4. Step 4: Simplify right side
    5,142.64x = 21,634,338.24
  5. Step 5: Solve for x
    x = 21,634,338.24/5,142.64
  6. Step 6: Final answer
    x = 4,206.85

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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.