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Finding the Fourth Proportional to 11,770.13, 16,242.86 and 6,464.90

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Solution

The fourth proportional to 11,770.13, 16,242.86 and 6,464.90 is: 8,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.13 : 16,242.86 = 6,464.90 : x
  2. Step 2: Convert to fraction form
    11,770.13/16,242.86 = 6,464.90/x
  3. Step 3: Cross multiply
    11,770.13x = 16,242.86 × 6,464.90
  4. Step 4: Simplify right side
    11,770.13x = 105,008,433.29
  5. Step 5: Solve for x
    x = 105,008,433.29/11,770.13
  6. Step 6: Final answer
    x = 8,921.60

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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.