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Finding the Fourth Proportional to 4,950.40, 7,424.96 and 1,872

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Solution

The fourth proportional to 4,950.40, 7,424.96 and 1,872 is: 2,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.40 : 7,424.96 = 1,872 : x
  2. Step 2: Convert to fraction form
    4,950.40/7,424.96 = 1,872/x
  3. Step 3: Cross multiply
    4,950.40x = 7,424.96 × 1,872
  4. Step 4: Simplify right side
    4,950.40x = 13,899,525.12
  5. Step 5: Solve for x
    x = 13,899,525.12/4,950.40
  6. Step 6: Final answer
    x = 2,807.76

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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.