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Finding the Fourth Proportional to 11,490.77, 15,856 and 6,453.83

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Solution

The fourth proportional to 11,490.77, 15,856 and 6,453.83 is: 8,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.77 : 15,856 = 6,453.83 : x
  2. Step 2: Convert to fraction form
    11,490.77/15,856 = 6,453.83/x
  3. Step 3: Cross multiply
    11,490.77x = 15,856 × 6,453.83
  4. Step 4: Simplify right side
    11,490.77x = 102,331,928.48
  5. Step 5: Solve for x
    x = 102,331,928.48/11,490.77
  6. Step 6: Final answer
    x = 8,905.58

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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.