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Finding the Fourth Proportional to 3,133.87, 4,700.78 and 1,284.98

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Solution

The fourth proportional to 3,133.87, 4,700.78 and 1,284.98 is: 1,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.87 : 4,700.78 = 1,284.98 : x
  2. Step 2: Convert to fraction form
    3,133.87/4,700.78 = 1,284.98/x
  3. Step 3: Cross multiply
    3,133.87x = 4,700.78 × 1,284.98
  4. Step 4: Simplify right side
    3,133.87x = 6,040,408.28
  5. Step 5: Solve for x
    x = 6,040,408.28/3,133.87
  6. Step 6: Final answer
    x = 1,927.46

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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.