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Finding the Fourth Proportional to 11,399.69, 15,730.16 and 6,364.19

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Solution

The fourth proportional to 11,399.69, 15,730.16 and 6,364.19 is: 8,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.69 : 15,730.16 = 6,364.19 : x
  2. Step 2: Convert to fraction form
    11,399.69/15,730.16 = 6,364.19/x
  3. Step 3: Cross multiply
    11,399.69x = 15,730.16 × 6,364.19
  4. Step 4: Simplify right side
    11,399.69x = 100,109,616.50
  5. Step 5: Solve for x
    x = 100,109,616.50/11,399.69
  6. Step 6: Final answer
    x = 8,781.79

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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.