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Finding the Fourth Proportional to 12,091.64, 16,697.14 and 7,622.88

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Solution

The fourth proportional to 12,091.64, 16,697.14 and 7,622.88 is: 10,526.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.64 : 16,697.14 = 7,622.88 : x
  2. Step 2: Convert to fraction form
    12,091.64/16,697.14 = 7,622.88/x
  3. Step 3: Cross multiply
    12,091.64x = 16,697.14 × 7,622.88
  4. Step 4: Simplify right side
    12,091.64x = 127,280,294.56
  5. Step 5: Solve for x
    x = 127,280,294.56/12,091.64
  6. Step 6: Final answer
    x = 10,526.31

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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.