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Finding the Fourth Proportional to 14,509.89, 20,025.89 and 8,139.06

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Solution

The fourth proportional to 14,509.89, 20,025.89 and 8,139.06 is: 11,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.89 : 20,025.89 = 8,139.06 : x
  2. Step 2: Convert to fraction form
    14,509.89/20,025.89 = 8,139.06/x
  3. Step 3: Cross multiply
    14,509.89x = 20,025.89 × 8,139.06
  4. Step 4: Simplify right side
    14,509.89x = 162,991,879.57
  5. Step 5: Solve for x
    x = 162,991,879.57/14,509.89
  6. Step 6: Final answer
    x = 11,233.16

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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.