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Finding the Fourth Proportional to 10,814.81, 14,928.44 and 8,168.54

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Solution

The fourth proportional to 10,814.81, 14,928.44 and 8,168.54 is: 11,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.81 : 14,928.44 = 8,168.54 : x
  2. Step 2: Convert to fraction form
    10,814.81/14,928.44 = 8,168.54/x
  3. Step 3: Cross multiply
    10,814.81x = 14,928.44 × 8,168.54
  4. Step 4: Simplify right side
    10,814.81x = 121,943,443.79
  5. Step 5: Solve for x
    x = 121,943,443.79/10,814.81
  6. Step 6: Final answer
    x = 11,275.60

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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.