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Finding the Fourth Proportional to 11,378.64, 15,702.60 and 6,663

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Solution

The fourth proportional to 11,378.64, 15,702.60 and 6,663 is: 9,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.64 : 15,702.60 = 6,663 : x
  2. Step 2: Convert to fraction form
    11,378.64/15,702.60 = 6,663/x
  3. Step 3: Cross multiply
    11,378.64x = 15,702.60 × 6,663
  4. Step 4: Simplify right side
    11,378.64x = 104,626,423.80
  5. Step 5: Solve for x
    x = 104,626,423.80/11,378.64
  6. Step 6: Final answer
    x = 9,194.98

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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.