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Finding the Fourth Proportional to 28,668.64, 42,978.56 and 10,889.36

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Solution

The fourth proportional to 28,668.64, 42,978.56 and 10,889.36 is: 16,324.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,668.64 : 42,978.56 = 10,889.36 : x
  2. Step 2: Convert to fraction form
    28,668.64/42,978.56 = 10,889.36/x
  3. Step 3: Cross multiply
    28,668.64x = 42,978.56 × 10,889.36
  4. Step 4: Simplify right side
    28,668.64x = 468,009,012.12
  5. Step 5: Solve for x
    x = 468,009,012.12/28,668.64
  6. Step 6: Final answer
    x = 16,324.77

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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.