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Finding the Fourth Proportional to 11,491.41, 15,859.63 and 6,455.63

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Solution

The fourth proportional to 11,491.41, 15,859.63 and 6,455.63 is: 8,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.41 : 15,859.63 = 6,455.63 : x
  2. Step 2: Convert to fraction form
    11,491.41/15,859.63 = 6,455.63/x
  3. Step 3: Cross multiply
    11,491.41x = 15,859.63 × 6,455.63
  4. Step 4: Simplify right side
    11,491.41x = 102,383,867.25
  5. Step 5: Solve for x
    x = 102,383,867.25/11,491.41
  6. Step 6: Final answer
    x = 8,909.60

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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.