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Finding the Fourth Proportional to 1,775.26, 2,662.89 and 1,124.63

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Solution

The fourth proportional to 1,775.26, 2,662.89 and 1,124.63 is: 1,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.26 : 2,662.89 = 1,124.63 : x
  2. Step 2: Convert to fraction form
    1,775.26/2,662.89 = 1,124.63/x
  3. Step 3: Cross multiply
    1,775.26x = 2,662.89 × 1,124.63
  4. Step 4: Simplify right side
    1,775.26x = 2,994,752.67
  5. Step 5: Solve for x
    x = 2,994,752.67/1,775.26
  6. Step 6: Final answer
    x = 1,686.94

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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.