Home / 2,643-3,965.40-1,000.02

Finding the Fourth Proportional to 2,643, 3,965.40 and 1,000.02

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Solution

The fourth proportional to 2,643, 3,965.40 and 1,000.02 is: 1,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 3,965.40 = 1,000.02 : x
  2. Step 2: Convert to fraction form
    2,643/3,965.40 = 1,000.02/x
  3. Step 3: Cross multiply
    2,643x = 3,965.40 × 1,000.02
  4. Step 4: Simplify right side
    2,643x = 3,965,479.31
  5. Step 5: Solve for x
    x = 3,965,479.31/2,643
  6. Step 6: Final answer
    x = 1,500.37

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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.