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Finding the Fourth Proportional to 10,954.94, 15,117.78 and 5,919.16

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Solution

The fourth proportional to 10,954.94, 15,117.78 and 5,919.16 is: 8,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.94 : 15,117.78 = 5,919.16 : x
  2. Step 2: Convert to fraction form
    10,954.94/15,117.78 = 5,919.16/x
  3. Step 3: Cross multiply
    10,954.94x = 15,117.78 × 5,919.16
  4. Step 4: Simplify right side
    10,954.94x = 89,484,558.66
  5. Step 5: Solve for x
    x = 89,484,558.66/10,954.94
  6. Step 6: Final answer
    x = 8,168.42

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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.