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Finding the Fourth Proportional to 3,628.90, 5,005.98 and 2,743.17

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Solution

The fourth proportional to 3,628.90, 5,005.98 and 2,743.17 is: 3,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.90 : 5,005.98 = 2,743.17 : x
  2. Step 2: Convert to fraction form
    3,628.90/5,005.98 = 2,743.17/x
  3. Step 3: Cross multiply
    3,628.90x = 5,005.98 × 2,743.17
  4. Step 4: Simplify right side
    3,628.90x = 13,732,254.16
  5. Step 5: Solve for x
    x = 13,732,254.16/3,628.90
  6. Step 6: Final answer
    x = 3,784.14

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1.5x scale

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.