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Finding the Fourth Proportional to 1,773.84, 2,661.60 and 907.92

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Solution

The fourth proportional to 1,773.84, 2,661.60 and 907.92 is: 1,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.84 : 2,661.60 = 907.92 : x
  2. Step 2: Convert to fraction form
    1,773.84/2,661.60 = 907.92/x
  3. Step 3: Cross multiply
    1,773.84x = 2,661.60 × 907.92
  4. Step 4: Simplify right side
    1,773.84x = 2,416,519.87
  5. Step 5: Solve for x
    x = 2,416,519.87/1,773.84
  6. Step 6: Final answer
    x = 1,362.31

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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.