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Finding the Fourth Proportional to 2,643.47, 3,648.05 and 1,464.62

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Solution

The fourth proportional to 2,643.47, 3,648.05 and 1,464.62 is: 2,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.47 : 3,648.05 = 1,464.62 : x
  2. Step 2: Convert to fraction form
    2,643.47/3,648.05 = 1,464.62/x
  3. Step 3: Cross multiply
    2,643.47x = 3,648.05 × 1,464.62
  4. Step 4: Simplify right side
    2,643.47x = 5,343,006.99
  5. Step 5: Solve for x
    x = 5,343,006.99/2,643.47
  6. Step 6: Final answer
    x = 2,021.21

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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.