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Finding the Fourth Proportional to 14,912, 20,579.10 and 8,539.76

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Solution

The fourth proportional to 14,912, 20,579.10 and 8,539.76 is: 11,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912 : 20,579.10 = 8,539.76 : x
  2. Step 2: Convert to fraction form
    14,912/20,579.10 = 8,539.76/x
  3. Step 3: Cross multiply
    14,912x = 20,579.10 × 8,539.76
  4. Step 4: Simplify right side
    14,912x = 175,740,575.02
  5. Step 5: Solve for x
    x = 175,740,575.02/14,912
  6. Step 6: Final answer
    x = 11,785.18

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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.