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Finding the Fourth Proportional to 15,111.36, 20,846.88 and 8,820

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Solution

The fourth proportional to 15,111.36, 20,846.88 and 8,820 is: 12,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.36 : 20,846.88 = 8,820 : x
  2. Step 2: Convert to fraction form
    15,111.36/20,846.88 = 8,820/x
  3. Step 3: Cross multiply
    15,111.36x = 20,846.88 × 8,820
  4. Step 4: Simplify right side
    15,111.36x = 183,869,481.60
  5. Step 5: Solve for x
    x = 183,869,481.60/15,111.36
  6. Step 6: Final answer
    x = 12,167.63

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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.