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Finding the Fourth Proportional to 7,833.68, 10,811.40 and 4,689.88

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Solution

The fourth proportional to 7,833.68, 10,811.40 and 4,689.88 is: 6,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.68 : 10,811.40 = 4,689.88 : x
  2. Step 2: Convert to fraction form
    7,833.68/10,811.40 = 4,689.88/x
  3. Step 3: Cross multiply
    7,833.68x = 10,811.40 × 4,689.88
  4. Step 4: Simplify right side
    7,833.68x = 50,704,168.63
  5. Step 5: Solve for x
    x = 50,704,168.63/7,833.68
  6. Step 6: Final answer
    x = 6,472.59

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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.