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Finding the Fourth Proportional to 11,645.88, 16,071.59 and 6,340.98

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Solution

The fourth proportional to 11,645.88, 16,071.59 and 6,340.98 is: 8,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.88 : 16,071.59 = 6,340.98 : x
  2. Step 2: Convert to fraction form
    11,645.88/16,071.59 = 6,340.98/x
  3. Step 3: Cross multiply
    11,645.88x = 16,071.59 × 6,340.98
  4. Step 4: Simplify right side
    11,645.88x = 101,909,646.61
  5. Step 5: Solve for x
    x = 101,909,646.61/11,645.88
  6. Step 6: Final answer
    x = 8,750.71

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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.