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Finding the Fourth Proportional to 10,408.87, 14,365.84 and 8,187.58

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Solution

The fourth proportional to 10,408.87, 14,365.84 and 8,187.58 is: 11,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.87 : 14,365.84 = 8,187.58 : x
  2. Step 2: Convert to fraction form
    10,408.87/14,365.84 = 8,187.58/x
  3. Step 3: Cross multiply
    10,408.87x = 14,365.84 × 8,187.58
  4. Step 4: Simplify right side
    10,408.87x = 117,621,392.44
  5. Step 5: Solve for x
    x = 117,621,392.44/10,408.87
  6. Step 6: Final answer
    x = 11,300.12

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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.