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Finding the Fourth Proportional to 7,838.68, 10,823.92 and 5,197.88

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Solution

The fourth proportional to 7,838.68, 10,823.92 and 5,197.88 is: 7,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.68 : 10,823.92 = 5,197.88 : x
  2. Step 2: Convert to fraction form
    7,838.68/10,823.92 = 5,197.88/x
  3. Step 3: Cross multiply
    7,838.68x = 10,823.92 × 5,197.88
  4. Step 4: Simplify right side
    7,838.68x = 56,261,437.29
  5. Step 5: Solve for x
    x = 56,261,437.29/7,838.68
  6. Step 6: Final answer
    x = 7,177.41

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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.