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Finding the Fourth Proportional to 14,807.50, 20,434.36 and 8,183.50

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Solution

The fourth proportional to 14,807.50, 20,434.36 and 8,183.50 is: 11,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.50 : 20,434.36 = 8,183.50 : x
  2. Step 2: Convert to fraction form
    14,807.50/20,434.36 = 8,183.50/x
  3. Step 3: Cross multiply
    14,807.50x = 20,434.36 × 8,183.50
  4. Step 4: Simplify right side
    14,807.50x = 167,224,585.06
  5. Step 5: Solve for x
    x = 167,224,585.06/14,807.50
  6. Step 6: Final answer
    x = 11,293.24

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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.