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Finding the Fourth Proportional to 14,823.56, 20,455.92 and 8,109.20

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Solution

The fourth proportional to 14,823.56, 20,455.92 and 8,109.20 is: 11,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.56 : 20,455.92 = 8,109.20 : x
  2. Step 2: Convert to fraction form
    14,823.56/20,455.92 = 8,109.20/x
  3. Step 3: Cross multiply
    14,823.56x = 20,455.92 × 8,109.20
  4. Step 4: Simplify right side
    14,823.56x = 165,881,044.18
  5. Step 5: Solve for x
    x = 165,881,044.18/14,823.56
  6. Step 6: Final answer
    x = 11,190.37

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1.5x scale

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.