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Finding the Fourth Proportional to 11,645.58, 16,035.87 and 10,431.90

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Solution

The fourth proportional to 11,645.58, 16,035.87 and 10,431.90 is: 14,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.58 : 16,035.87 = 10,431.90 : x
  2. Step 2: Convert to fraction form
    11,645.58/16,035.87 = 10,431.90/x
  3. Step 3: Cross multiply
    11,645.58x = 16,035.87 × 10,431.90
  4. Step 4: Simplify right side
    11,645.58x = 167,284,592.25
  5. Step 5: Solve for x
    x = 167,284,592.25/11,645.58
  6. Step 6: Final answer
    x = 14,364.64

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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.