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Finding the Fourth Proportional to 11,842.15, 16,342.08 and 6,464.56

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Solution

The fourth proportional to 11,842.15, 16,342.08 and 6,464.56 is: 8,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.15 : 16,342.08 = 6,464.56 : x
  2. Step 2: Convert to fraction form
    11,842.15/16,342.08 = 6,464.56/x
  3. Step 3: Cross multiply
    11,842.15x = 16,342.08 × 6,464.56
  4. Step 4: Simplify right side
    11,842.15x = 105,644,356.68
  5. Step 5: Solve for x
    x = 105,644,356.68/11,842.15
  6. Step 6: Final answer
    x = 8,921.05

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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.