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Finding the Fourth Proportional to 2,852.52, 4,278.78 and 904.88

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Solution

The fourth proportional to 2,852.52, 4,278.78 and 904.88 is: 1,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.52 : 4,278.78 = 904.88 : x
  2. Step 2: Convert to fraction form
    2,852.52/4,278.78 = 904.88/x
  3. Step 3: Cross multiply
    2,852.52x = 4,278.78 × 904.88
  4. Step 4: Simplify right side
    2,852.52x = 3,871,761.05
  5. Step 5: Solve for x
    x = 3,871,761.05/2,852.52
  6. Step 6: Final answer
    x = 1,357.31

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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.