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Finding the Fourth Proportional to 7,913, 10,914 and 6,660.74

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Solution

The fourth proportional to 7,913, 10,914 and 6,660.74 is: 9,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913 : 10,914 = 6,660.74 : x
  2. Step 2: Convert to fraction form
    7,913/10,914 = 6,660.74/x
  3. Step 3: Cross multiply
    7,913x = 10,914 × 6,660.74
  4. Step 4: Simplify right side
    7,913x = 72,695,316.36
  5. Step 5: Solve for x
    x = 72,695,316.36/7,913
  6. Step 6: Final answer
    x = 9,186.82

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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.