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Finding the Fourth Proportional to 7,843.41, 10,813.64 and 5,719.46

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Solution

The fourth proportional to 7,843.41, 10,813.64 and 5,719.46 is: 7,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.41 : 10,813.64 = 5,719.46 : x
  2. Step 2: Convert to fraction form
    7,843.41/10,813.64 = 5,719.46/x
  3. Step 3: Cross multiply
    7,843.41x = 10,813.64 × 5,719.46
  4. Step 4: Simplify right side
    7,843.41x = 61,848,098.77
  5. Step 5: Solve for x
    x = 61,848,098.77/7,843.41
  6. Step 6: Final answer
    x = 7,885.36

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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.