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Finding the Fourth Proportional to 1,662.19, 2,497.84 and 1,553.82

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Solution

The fourth proportional to 1,662.19, 2,497.84 and 1,553.82 is: 2,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.19 : 2,497.84 = 1,553.82 : x
  2. Step 2: Convert to fraction form
    1,662.19/2,497.84 = 1,553.82/x
  3. Step 3: Cross multiply
    1,662.19x = 2,497.84 × 1,553.82
  4. Step 4: Simplify right side
    1,662.19x = 3,881,180.50
  5. Step 5: Solve for x
    x = 3,881,180.50/1,662.19
  6. Step 6: Final answer
    x = 2,334.98

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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.