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Finding the Fourth Proportional to 9,078.45, 13,550 and 8,857.05

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Solution

The fourth proportional to 9,078.45, 13,550 and 8,857.05 is: 13,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.45 : 13,550 = 8,857.05 : x
  2. Step 2: Convert to fraction form
    9,078.45/13,550 = 8,857.05/x
  3. Step 3: Cross multiply
    9,078.45x = 13,550 × 8,857.05
  4. Step 4: Simplify right side
    9,078.45x = 120,013,027.50
  5. Step 5: Solve for x
    x = 120,013,027.50/9,078.45
  6. Step 6: Final answer
    x = 13,219.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.