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Finding the Fourth Proportional to 8,556.64, 12,864.24 and 7,915.36

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Solution

The fourth proportional to 8,556.64, 12,864.24 and 7,915.36 is: 11,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.64 : 12,864.24 = 7,915.36 : x
  2. Step 2: Convert to fraction form
    8,556.64/12,864.24 = 7,915.36/x
  3. Step 3: Cross multiply
    8,556.64x = 12,864.24 × 7,915.36
  4. Step 4: Simplify right side
    8,556.64x = 101,825,090.73
  5. Step 5: Solve for x
    x = 101,825,090.73/8,556.64
  6. Step 6: Final answer
    x = 11,900.13

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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.