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Finding the Fourth Proportional to 11,787.56, 17,655.74 and 7,174.44

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Solution

The fourth proportional to 11,787.56, 17,655.74 and 7,174.44 is: 10,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.56 : 17,655.74 = 7,174.44 : x
  2. Step 2: Convert to fraction form
    11,787.56/17,655.74 = 7,174.44/x
  3. Step 3: Cross multiply
    11,787.56x = 17,655.74 × 7,174.44
  4. Step 4: Simplify right side
    11,787.56x = 126,670,047.29
  5. Step 5: Solve for x
    x = 126,670,047.29/11,787.56
  6. Step 6: Final answer
    x = 10,746.08

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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.