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Finding the Fourth Proportional to 11,392.47, 15,713.12 and 8,366.65

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Solution

The fourth proportional to 11,392.47, 15,713.12 and 8,366.65 is: 11,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392.47 : 15,713.12 = 8,366.65 : x
  2. Step 2: Convert to fraction form
    11,392.47/15,713.12 = 8,366.65/x
  3. Step 3: Cross multiply
    11,392.47x = 15,713.12 × 8,366.65
  4. Step 4: Simplify right side
    11,392.47x = 131,466,157.08
  5. Step 5: Solve for x
    x = 131,466,157.08/11,392.47
  6. Step 6: Final answer
    x = 11,539.74

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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.