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Finding the Fourth Proportional to 2,775.22, 3,828.50 and 1,655.52

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Solution

The fourth proportional to 2,775.22, 3,828.50 and 1,655.52 is: 2,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.22 : 3,828.50 = 1,655.52 : x
  2. Step 2: Convert to fraction form
    2,775.22/3,828.50 = 1,655.52/x
  3. Step 3: Cross multiply
    2,775.22x = 3,828.50 × 1,655.52
  4. Step 4: Simplify right side
    2,775.22x = 6,338,158.32
  5. Step 5: Solve for x
    x = 6,338,158.32/2,775.22
  6. Step 6: Final answer
    x = 2,283.84

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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.