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Finding the Fourth Proportional to 3,643.49, 5,463.61 and 1,696.25

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Solution

The fourth proportional to 3,643.49, 5,463.61 and 1,696.25 is: 2,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.49 : 5,463.61 = 1,696.25 : x
  2. Step 2: Convert to fraction form
    3,643.49/5,463.61 = 1,696.25/x
  3. Step 3: Cross multiply
    3,643.49x = 5,463.61 × 1,696.25
  4. Step 4: Simplify right side
    3,643.49x = 9,267,648.46
  5. Step 5: Solve for x
    x = 9,267,648.46/3,643.49
  6. Step 6: Final answer
    x = 2,543.62

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1.5x scale

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.