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Finding the Fourth Proportional to 2,641.71, 3,643.18 and 1,647.08

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Solution

The fourth proportional to 2,641.71, 3,643.18 and 1,647.08 is: 2,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.71 : 3,643.18 = 1,647.08 : x
  2. Step 2: Convert to fraction form
    2,641.71/3,643.18 = 1,647.08/x
  3. Step 3: Cross multiply
    2,641.71x = 3,643.18 × 1,647.08
  4. Step 4: Simplify right side
    2,641.71x = 6,000,620.74
  5. Step 5: Solve for x
    x = 6,000,620.74/2,641.71
  6. Step 6: Final answer
    x = 2,271.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.