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Finding the Fourth Proportional to 8,853.45, 13,285.77 and 8,022.20

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Solution

The fourth proportional to 8,853.45, 13,285.77 and 8,022.20 is: 12,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.45 : 13,285.77 = 8,022.20 : x
  2. Step 2: Convert to fraction form
    8,853.45/13,285.77 = 8,022.20/x
  3. Step 3: Cross multiply
    8,853.45x = 13,285.77 × 8,022.20
  4. Step 4: Simplify right side
    8,853.45x = 106,581,146.12
  5. Step 5: Solve for x
    x = 106,581,146.12/8,853.45
  6. Step 6: Final answer
    x = 12,038.38

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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.