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Finding the Fourth Proportional to 2,775.22, 3,829.80 and 1,533.22

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Solution

The fourth proportional to 2,775.22, 3,829.80 and 1,533.22 is: 2,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.22 : 3,829.80 = 1,533.22 : x
  2. Step 2: Convert to fraction form
    2,775.22/3,829.80 = 1,533.22/x
  3. Step 3: Cross multiply
    2,775.22x = 3,829.80 × 1,533.22
  4. Step 4: Simplify right side
    2,775.22x = 5,871,925.96
  5. Step 5: Solve for x
    x = 5,871,925.96/2,775.22
  6. Step 6: Final answer
    x = 2,115.84

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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.