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Finding the Fourth Proportional to 11,702.78, 17,527.70 and 8,208.30

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Solution

The fourth proportional to 11,702.78, 17,527.70 and 8,208.30 is: 12,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.78 : 17,527.70 = 8,208.30 : x
  2. Step 2: Convert to fraction form
    11,702.78/17,527.70 = 8,208.30/x
  3. Step 3: Cross multiply
    11,702.78x = 17,527.70 × 8,208.30
  4. Step 4: Simplify right side
    11,702.78x = 143,872,619.91
  5. Step 5: Solve for x
    x = 143,872,619.91/11,702.78
  6. Step 6: Final answer
    x = 12,293.88

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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.