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Finding the Fourth Proportional to 10,917.85, 16,365.41 and 7,408.17

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Solution

The fourth proportional to 10,917.85, 16,365.41 and 7,408.17 is: 11,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.85 : 16,365.41 = 7,408.17 : x
  2. Step 2: Convert to fraction form
    10,917.85/16,365.41 = 7,408.17/x
  3. Step 3: Cross multiply
    10,917.85x = 16,365.41 × 7,408.17
  4. Step 4: Simplify right side
    10,917.85x = 121,237,771.81
  5. Step 5: Solve for x
    x = 121,237,771.81/10,917.85
  6. Step 6: Final answer
    x = 11,104.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.