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Finding the Fourth Proportional to 2,851.28, 4,277.54 and 903.50

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Solution

The fourth proportional to 2,851.28, 4,277.54 and 903.50 is: 1,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.28 : 4,277.54 = 903.50 : x
  2. Step 2: Convert to fraction form
    2,851.28/4,277.54 = 903.50/x
  3. Step 3: Cross multiply
    2,851.28x = 4,277.54 × 903.50
  4. Step 4: Simplify right side
    2,851.28x = 3,864,757.39
  5. Step 5: Solve for x
    x = 3,864,757.39/2,851.28
  6. Step 6: Final answer
    x = 1,355.45

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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.