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Finding the Fourth Proportional to 7,278.60, 10,033.88 and 5,787.12

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Solution

The fourth proportional to 7,278.60, 10,033.88 and 5,787.12 is: 7,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.60 : 10,033.88 = 5,787.12 : x
  2. Step 2: Convert to fraction form
    7,278.60/10,033.88 = 5,787.12/x
  3. Step 3: Cross multiply
    7,278.60x = 10,033.88 × 5,787.12
  4. Step 4: Simplify right side
    7,278.60x = 58,067,238.69
  5. Step 5: Solve for x
    x = 58,067,238.69/7,278.60
  6. Step 6: Final answer
    x = 7,977.80

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1.5x scale

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.