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Finding the Fourth Proportional to 11,888.32, 16,393.89 and 8,702.13

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Solution

The fourth proportional to 11,888.32, 16,393.89 and 8,702.13 is: 12,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.32 : 16,393.89 = 8,702.13 : x
  2. Step 2: Convert to fraction form
    11,888.32/16,393.89 = 8,702.13/x
  3. Step 3: Cross multiply
    11,888.32x = 16,393.89 × 8,702.13
  4. Step 4: Simplify right side
    11,888.32x = 142,661,856.10
  5. Step 5: Solve for x
    x = 142,661,856.10/11,888.32
  6. Step 6: Final answer
    x = 12,000.17

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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.