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Finding the Fourth Proportional to 9,520, 13,143.36 and 6,213.76

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Solution

The fourth proportional to 9,520, 13,143.36 and 6,213.76 is: 8,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520 : 13,143.36 = 6,213.76 : x
  2. Step 2: Convert to fraction form
    9,520/13,143.36 = 6,213.76/x
  3. Step 3: Cross multiply
    9,520x = 13,143.36 × 6,213.76
  4. Step 4: Simplify right side
    9,520x = 81,669,684.63
  5. Step 5: Solve for x
    x = 81,669,684.63/9,520
  6. Step 6: Final answer
    x = 8,578.75

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Double scale
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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.