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Finding the Fourth Proportional to 7,853.91, 10,838.34 and 4,317.09

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Solution

The fourth proportional to 7,853.91, 10,838.34 and 4,317.09 is: 5,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.91 : 10,838.34 = 4,317.09 : x
  2. Step 2: Convert to fraction form
    7,853.91/10,838.34 = 4,317.09/x
  3. Step 3: Cross multiply
    7,853.91x = 10,838.34 × 4,317.09
  4. Step 4: Simplify right side
    7,853.91x = 46,790,089.23
  5. Step 5: Solve for x
    x = 46,790,089.23/7,853.91
  6. Step 6: Final answer
    x = 5,957.55

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Half 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.