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Finding the Fourth Proportional to 8,425.68, 11,628.52 and 4,890

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Solution

The fourth proportional to 8,425.68, 11,628.52 and 4,890 is: 6,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.68 : 11,628.52 = 4,890 : x
  2. Step 2: Convert to fraction form
    8,425.68/11,628.52 = 4,890/x
  3. Step 3: Cross multiply
    8,425.68x = 11,628.52 × 4,890
  4. Step 4: Simplify right side
    8,425.68x = 56,863,462.80
  5. Step 5: Solve for x
    x = 56,863,462.80/8,425.68
  6. Step 6: Final answer
    x = 6,748.83

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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.