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Finding the Fourth Proportional to 11,453.75, 15,805.97 and 6,417.95

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Solution

The fourth proportional to 11,453.75, 15,805.97 and 6,417.95 is: 8,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.75 : 15,805.97 = 6,417.95 : x
  2. Step 2: Convert to fraction form
    11,453.75/15,805.97 = 6,417.95/x
  3. Step 3: Cross multiply
    11,453.75x = 15,805.97 × 6,417.95
  4. Step 4: Simplify right side
    11,453.75x = 101,441,893.07
  5. Step 5: Solve for x
    x = 101,441,893.07/11,453.75
  6. Step 6: Final answer
    x = 8,856.66

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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.