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Finding the Fourth Proportional to 5,328.94, 7,993.50 and 1,866.18

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Solution

The fourth proportional to 5,328.94, 7,993.50 and 1,866.18 is: 2,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.94 : 7,993.50 = 1,866.18 : x
  2. Step 2: Convert to fraction form
    5,328.94/7,993.50 = 1,866.18/x
  3. Step 3: Cross multiply
    5,328.94x = 7,993.50 × 1,866.18
  4. Step 4: Simplify right side
    5,328.94x = 14,917,309.83
  5. Step 5: Solve for x
    x = 14,917,309.83/5,328.94
  6. Step 6: Final answer
    x = 2,799.30

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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.