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Finding the Fourth Proportional to 10,776.70, 14,881.62 and 8,119.50

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Solution

The fourth proportional to 10,776.70, 14,881.62 and 8,119.50 is: 11,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.70 : 14,881.62 = 8,119.50 : x
  2. Step 2: Convert to fraction form
    10,776.70/14,881.62 = 8,119.50/x
  3. Step 3: Cross multiply
    10,776.70x = 14,881.62 × 8,119.50
  4. Step 4: Simplify right side
    10,776.70x = 120,831,313.59
  5. Step 5: Solve for x
    x = 120,831,313.59/10,776.70
  6. Step 6: Final answer
    x = 11,212.27

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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.