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Finding the Fourth Proportional to 11,950.78, 16,492.14 and 6,645.64

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Solution

The fourth proportional to 11,950.78, 16,492.14 and 6,645.64 is: 9,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.78 : 16,492.14 = 6,645.64 : x
  2. Step 2: Convert to fraction form
    11,950.78/16,492.14 = 6,645.64/x
  3. Step 3: Cross multiply
    11,950.78x = 16,492.14 × 6,645.64
  4. Step 4: Simplify right side
    11,950.78x = 109,600,825.27
  5. Step 5: Solve for x
    x = 109,600,825.27/11,950.78
  6. Step 6: Final answer
    x = 9,171.02

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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.