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Finding the Fourth Proportional to 7,864, 10,858.80 and 6,880.66

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Solution

The fourth proportional to 7,864, 10,858.80 and 6,880.66 is: 9,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864 : 10,858.80 = 6,880.66 : x
  2. Step 2: Convert to fraction form
    7,864/10,858.80 = 6,880.66/x
  3. Step 3: Cross multiply
    7,864x = 10,858.80 × 6,880.66
  4. Step 4: Simplify right side
    7,864x = 74,715,710.81
  5. Step 5: Solve for x
    x = 74,715,710.81/7,864
  6. Step 6: Final answer
    x = 9,500.98

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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.