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Finding the Fourth Proportional to 11,213.70, 15,474 and 6,498.28

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Solution

The fourth proportional to 11,213.70, 15,474 and 6,498.28 is: 8,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.70 : 15,474 = 6,498.28 : x
  2. Step 2: Convert to fraction form
    11,213.70/15,474 = 6,498.28/x
  3. Step 3: Cross multiply
    11,213.70x = 15,474 × 6,498.28
  4. Step 4: Simplify right side
    11,213.70x = 100,554,384.72
  5. Step 5: Solve for x
    x = 100,554,384.72/11,213.70
  6. Step 6: Final answer
    x = 8,967.10

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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.