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Finding the Fourth Proportional to 7,827.91, 10,804.11 and 7,197.44

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Solution

The fourth proportional to 7,827.91, 10,804.11 and 7,197.44 is: 9,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.91 : 10,804.11 = 7,197.44 : x
  2. Step 2: Convert to fraction form
    7,827.91/10,804.11 = 7,197.44/x
  3. Step 3: Cross multiply
    7,827.91x = 10,804.11 × 7,197.44
  4. Step 4: Simplify right side
    7,827.91x = 77,761,963.86
  5. Step 5: Solve for x
    x = 77,761,963.86/7,827.91
  6. Step 6: Final answer
    x = 9,933.93

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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.