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Finding the Fourth Proportional to 9,191.64, 12,684.50 and 4,999.88

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Solution

The fourth proportional to 9,191.64, 12,684.50 and 4,999.88 is: 6,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.64 : 12,684.50 = 4,999.88 : x
  2. Step 2: Convert to fraction form
    9,191.64/12,684.50 = 4,999.88/x
  3. Step 3: Cross multiply
    9,191.64x = 12,684.50 × 4,999.88
  4. Step 4: Simplify right side
    9,191.64x = 63,420,977.86
  5. Step 5: Solve for x
    x = 63,420,977.86/9,191.64
  6. Step 6: Final answer
    x = 6,899.85

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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.