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Finding the Fourth Proportional to 9,811.12, 13,536.60 and 9,318.64

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Solution

The fourth proportional to 9,811.12, 13,536.60 and 9,318.64 is: 12,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.12 : 13,536.60 = 9,318.64 : x
  2. Step 2: Convert to fraction form
    9,811.12/13,536.60 = 9,318.64/x
  3. Step 3: Cross multiply
    9,811.12x = 13,536.60 × 9,318.64
  4. Step 4: Simplify right side
    9,811.12x = 126,142,702.22
  5. Step 5: Solve for x
    x = 126,142,702.22/9,811.12
  6. Step 6: Final answer
    x = 12,857.12

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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.