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Finding the Fourth Proportional to 2,153.63, 3,230.45 and 614.63

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Solution

The fourth proportional to 2,153.63, 3,230.45 and 614.63 is: 921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.63 : 3,230.45 = 614.63 : x
  2. Step 2: Convert to fraction form
    2,153.63/3,230.45 = 614.63/x
  3. Step 3: Cross multiply
    2,153.63x = 3,230.45 × 614.63
  4. Step 4: Simplify right side
    2,153.63x = 1,985,512.26
  5. Step 5: Solve for x
    x = 1,985,512.26/2,153.63
  6. Step 6: Final answer
    x = 921.94

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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.