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Finding the Fourth Proportional to 14,861.95, 20,509.41 and 8,147.86

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Solution

The fourth proportional to 14,861.95, 20,509.41 and 8,147.86 is: 11,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.95 : 20,509.41 = 8,147.86 : x
  2. Step 2: Convert to fraction form
    14,861.95/20,509.41 = 8,147.86/x
  3. Step 3: Cross multiply
    14,861.95x = 20,509.41 × 8,147.86
  4. Step 4: Simplify right side
    14,861.95x = 167,107,801.36
  5. Step 5: Solve for x
    x = 167,107,801.36/14,861.95
  6. Step 6: Final answer
    x = 11,244.00

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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.