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Finding the Fourth Proportional to 11,490.77, 15,855.99 and 6,453.84

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Solution

The fourth proportional to 11,490.77, 15,855.99 and 6,453.84 is: 8,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.77 : 15,855.99 = 6,453.84 : x
  2. Step 2: Convert to fraction form
    11,490.77/15,855.99 = 6,453.84/x
  3. Step 3: Cross multiply
    11,490.77x = 15,855.99 × 6,453.84
  4. Step 4: Simplify right side
    11,490.77x = 102,332,022.50
  5. Step 5: Solve for x
    x = 102,332,022.50/11,490.77
  6. Step 6: Final answer
    x = 8,905.59

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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.