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Finding the Fourth Proportional to 2,362.17, 3,543.26 and 630.75

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Solution

The fourth proportional to 2,362.17, 3,543.26 and 630.75 is: 946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.17 : 3,543.26 = 630.75 : x
  2. Step 2: Convert to fraction form
    2,362.17/3,543.26 = 630.75/x
  3. Step 3: Cross multiply
    2,362.17x = 3,543.26 × 630.75
  4. Step 4: Simplify right side
    2,362.17x = 2,234,908.09
  5. Step 5: Solve for x
    x = 2,234,908.09/2,362.17
  6. Step 6: Final answer
    x = 946.13

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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.