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Finding the Fourth Proportional to 10,494, 14,481.38 and 5,778.16

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Solution

The fourth proportional to 10,494, 14,481.38 and 5,778.16 is: 7,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 14,481.38 = 5,778.16 : x
  2. Step 2: Convert to fraction form
    10,494/14,481.38 = 5,778.16/x
  3. Step 3: Cross multiply
    10,494x = 14,481.38 × 5,778.16
  4. Step 4: Simplify right side
    10,494x = 83,675,730.66
  5. Step 5: Solve for x
    x = 83,675,730.66/10,494
  6. Step 6: Final answer
    x = 7,973.67

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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.