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Finding the Fourth Proportional to 9,166.10, 13,785.60 and 8,218.40

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Solution

The fourth proportional to 9,166.10, 13,785.60 and 8,218.40 is: 12,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.10 : 13,785.60 = 8,218.40 : x
  2. Step 2: Convert to fraction form
    9,166.10/13,785.60 = 8,218.40/x
  3. Step 3: Cross multiply
    9,166.10x = 13,785.60 × 8,218.40
  4. Step 4: Simplify right side
    9,166.10x = 113,295,575.04
  5. Step 5: Solve for x
    x = 113,295,575.04/9,166.10
  6. Step 6: Final answer
    x = 12,360.28

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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.