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Finding the Fourth Proportional to 7,838.52, 10,807.92 and 6,341.82

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Solution

The fourth proportional to 7,838.52, 10,807.92 and 6,341.82 is: 8,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.52 : 10,807.92 = 6,341.82 : x
  2. Step 2: Convert to fraction form
    7,838.52/10,807.92 = 6,341.82/x
  3. Step 3: Cross multiply
    7,838.52x = 10,807.92 × 6,341.82
  4. Step 4: Simplify right side
    7,838.52x = 68,541,883.21
  5. Step 5: Solve for x
    x = 68,541,883.21/7,838.52
  6. Step 6: Final answer
    x = 8,744.24

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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.