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Finding the Fourth Proportional to 7,858.64, 11,767.80 and 6,556.88

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Solution

The fourth proportional to 7,858.64, 11,767.80 and 6,556.88 is: 9,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.64 : 11,767.80 = 6,556.88 : x
  2. Step 2: Convert to fraction form
    7,858.64/11,767.80 = 6,556.88/x
  3. Step 3: Cross multiply
    7,858.64x = 11,767.80 × 6,556.88
  4. Step 4: Simplify right side
    7,858.64x = 77,160,052.46
  5. Step 5: Solve for x
    x = 77,160,052.46/7,858.64
  6. Step 6: Final answer
    x = 9,818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.