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Finding the Fourth Proportional to 11,364.60, 15,678.54 and 8,213.88

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Solution

The fourth proportional to 11,364.60, 15,678.54 and 8,213.88 is: 11,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.60 : 15,678.54 = 8,213.88 : x
  2. Step 2: Convert to fraction form
    11,364.60/15,678.54 = 8,213.88/x
  3. Step 3: Cross multiply
    11,364.60x = 15,678.54 × 8,213.88
  4. Step 4: Simplify right side
    11,364.60x = 128,781,646.14
  5. Step 5: Solve for x
    x = 128,781,646.14/11,364.60
  6. Step 6: Final answer
    x = 11,331.82

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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.