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Finding the Fourth Proportional to 1,775.88, 2,450.20 and 1,146.78

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Solution

The fourth proportional to 1,775.88, 2,450.20 and 1,146.78 is: 1,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.88 : 2,450.20 = 1,146.78 : x
  2. Step 2: Convert to fraction form
    1,775.88/2,450.20 = 1,146.78/x
  3. Step 3: Cross multiply
    1,775.88x = 2,450.20 × 1,146.78
  4. Step 4: Simplify right side
    1,775.88x = 2,809,840.36
  5. Step 5: Solve for x
    x = 2,809,840.36/1,775.88
  6. Step 6: Final answer
    x = 1,582.22

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1.5x scale

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.