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Finding the Fourth Proportional to 10,867.64, 14,994.96 and 8,181.68

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Solution

The fourth proportional to 10,867.64, 14,994.96 and 8,181.68 is: 11,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.64 : 14,994.96 = 8,181.68 : x
  2. Step 2: Convert to fraction form
    10,867.64/14,994.96 = 8,181.68/x
  3. Step 3: Cross multiply
    10,867.64x = 14,994.96 × 8,181.68
  4. Step 4: Simplify right side
    10,867.64x = 122,683,964.33
  5. Step 5: Solve for x
    x = 122,683,964.33/10,867.64
  6. Step 6: Final answer
    x = 11,288.92

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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.