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Finding the Fourth Proportional to 8,430.28, 12,623.86 and 8,180.85

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Solution

The fourth proportional to 8,430.28, 12,623.86 and 8,180.85 is: 12,250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.28 : 12,623.86 = 8,180.85 : x
  2. Step 2: Convert to fraction form
    8,430.28/12,623.86 = 8,180.85/x
  3. Step 3: Cross multiply
    8,430.28x = 12,623.86 × 8,180.85
  4. Step 4: Simplify right side
    8,430.28x = 103,273,905.08
  5. Step 5: Solve for x
    x = 103,273,905.08/8,430.28
  6. Step 6: Final answer
    x = 12,250.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.