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Finding the Fourth Proportional to 2,643.46, 3,965.99 and 1,000.51

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Solution

The fourth proportional to 2,643.46, 3,965.99 and 1,000.51 is: 1,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.46 : 3,965.99 = 1,000.51 : x
  2. Step 2: Convert to fraction form
    2,643.46/3,965.99 = 1,000.51/x
  3. Step 3: Cross multiply
    2,643.46x = 3,965.99 × 1,000.51
  4. Step 4: Simplify right side
    2,643.46x = 3,968,012.65
  5. Step 5: Solve for x
    x = 3,968,012.65/2,643.46
  6. Step 6: Final answer
    x = 1,501.07

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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.