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Finding the Fourth Proportional to 7,265.78, 10,903.52 and 2,648.78

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Solution

The fourth proportional to 7,265.78, 10,903.52 and 2,648.78 is: 3,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.78 : 10,903.52 = 2,648.78 : x
  2. Step 2: Convert to fraction form
    7,265.78/10,903.52 = 2,648.78/x
  3. Step 3: Cross multiply
    7,265.78x = 10,903.52 × 2,648.78
  4. Step 4: Simplify right side
    7,265.78x = 28,881,025.71
  5. Step 5: Solve for x
    x = 28,881,025.71/7,265.78
  6. Step 6: Final answer
    x = 3,974.94

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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.