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Finding the Fourth Proportional to 15,114, 20,858.60 and 8,491.28

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Solution

The fourth proportional to 15,114, 20,858.60 and 8,491.28 is: 11,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114 : 20,858.60 = 8,491.28 : x
  2. Step 2: Convert to fraction form
    15,114/20,858.60 = 8,491.28/x
  3. Step 3: Cross multiply
    15,114x = 20,858.60 × 8,491.28
  4. Step 4: Simplify right side
    15,114x = 177,116,213.01
  5. Step 5: Solve for x
    x = 177,116,213.01/15,114
  6. Step 6: Final answer
    x = 11,718.69

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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.