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Finding the Fourth Proportional to 8,960.22, 12,358.98 and 8,216.64

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Solution

The fourth proportional to 8,960.22, 12,358.98 and 8,216.64 is: 11,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,960.22 : 12,358.98 = 8,216.64 : x
  2. Step 2: Convert to fraction form
    8,960.22/12,358.98 = 8,216.64/x
  3. Step 3: Cross multiply
    8,960.22x = 12,358.98 × 8,216.64
  4. Step 4: Simplify right side
    8,960.22x = 101,549,289.43
  5. Step 5: Solve for x
    x = 101,549,289.43/8,960.22
  6. Step 6: Final answer
    x = 11,333.35

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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.