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Finding the Fourth Proportional to 2,630.10, 3,950.73 and 1,656.87

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Solution

The fourth proportional to 2,630.10, 3,950.73 and 1,656.87 is: 2,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.10 : 3,950.73 = 1,656.87 : x
  2. Step 2: Convert to fraction form
    2,630.10/3,950.73 = 1,656.87/x
  3. Step 3: Cross multiply
    2,630.10x = 3,950.73 × 1,656.87
  4. Step 4: Simplify right side
    2,630.10x = 6,545,846.02
  5. Step 5: Solve for x
    x = 6,545,846.02/2,630.10
  6. Step 6: Final answer
    x = 2,488.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.