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Finding the Fourth Proportional to 1,666.82, 2,496.98 and 1,435.70

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Solution

The fourth proportional to 1,666.82, 2,496.98 and 1,435.70 is: 2,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.82 : 2,496.98 = 1,435.70 : x
  2. Step 2: Convert to fraction form
    1,666.82/2,496.98 = 1,435.70/x
  3. Step 3: Cross multiply
    1,666.82x = 2,496.98 × 1,435.70
  4. Step 4: Simplify right side
    1,666.82x = 3,584,907.01
  5. Step 5: Solve for x
    x = 3,584,907.01/1,666.82
  6. Step 6: Final answer
    x = 2,150.75

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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.