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Finding the Fourth Proportional to 14,782.51, 20,399.86 and 8,494.87

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Solution

The fourth proportional to 14,782.51, 20,399.86 and 8,494.87 is: 11,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.51 : 20,399.86 = 8,494.87 : x
  2. Step 2: Convert to fraction form
    14,782.51/20,399.86 = 8,494.87/x
  3. Step 3: Cross multiply
    14,782.51x = 20,399.86 × 8,494.87
  4. Step 4: Simplify right side
    14,782.51x = 173,294,116.24
  5. Step 5: Solve for x
    x = 173,294,116.24/14,782.51
  6. Step 6: Final answer
    x = 11,722.92

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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.