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Finding the Fourth Proportional to 11,782.64, 16,259.94 and 6,477.44

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Solution

The fourth proportional to 11,782.64, 16,259.94 and 6,477.44 is: 8,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.64 : 16,259.94 = 6,477.44 : x
  2. Step 2: Convert to fraction form
    11,782.64/16,259.94 = 6,477.44/x
  3. Step 3: Cross multiply
    11,782.64x = 16,259.94 × 6,477.44
  4. Step 4: Simplify right side
    11,782.64x = 105,322,704.45
  5. Step 5: Solve for x
    x = 105,322,704.45/11,782.64
  6. Step 6: Final answer
    x = 8,938.80

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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.