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Finding the Fourth Proportional to 2,333, 3,219.54 and 1,401.80

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Solution

The fourth proportional to 2,333, 3,219.54 and 1,401.80 is: 1,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333 : 3,219.54 = 1,401.80 : x
  2. Step 2: Convert to fraction form
    2,333/3,219.54 = 1,401.80/x
  3. Step 3: Cross multiply
    2,333x = 3,219.54 × 1,401.80
  4. Step 4: Simplify right side
    2,333x = 4,513,151.17
  5. Step 5: Solve for x
    x = 4,513,151.17/2,333
  6. Step 6: Final answer
    x = 1,934.48

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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.