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Finding the Fourth Proportional to 4,259.04, 6,389.51 and 1,662

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Solution

The fourth proportional to 4,259.04, 6,389.51 and 1,662 is: 2,493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.04 : 6,389.51 = 1,662 : x
  2. Step 2: Convert to fraction form
    4,259.04/6,389.51 = 1,662/x
  3. Step 3: Cross multiply
    4,259.04x = 6,389.51 × 1,662
  4. Step 4: Simplify right side
    4,259.04x = 10,619,357.31
  5. Step 5: Solve for x
    x = 10,619,357.31/4,259.04
  6. Step 6: Final answer
    x = 2,493.37

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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.