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Finding the Fourth Proportional to 7,855.37, 11,787.74 and 3,174.74

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Solution

The fourth proportional to 7,855.37, 11,787.74 and 3,174.74 is: 4,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.37 : 11,787.74 = 3,174.74 : x
  2. Step 2: Convert to fraction form
    7,855.37/11,787.74 = 3,174.74/x
  3. Step 3: Cross multiply
    7,855.37x = 11,787.74 × 3,174.74
  4. Step 4: Simplify right side
    7,855.37x = 37,423,009.69
  5. Step 5: Solve for x
    x = 37,423,009.69/7,855.37
  6. Step 6: Final answer
    x = 4,764.00

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1.5x scale

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.