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Finding the Fourth Proportional to 14,782.91, 20,400.80 and 8,069.15

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Solution

The fourth proportional to 14,782.91, 20,400.80 and 8,069.15 is: 11,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.91 : 20,400.80 = 8,069.15 : x
  2. Step 2: Convert to fraction form
    14,782.91/20,400.80 = 8,069.15/x
  3. Step 3: Cross multiply
    14,782.91x = 20,400.80 × 8,069.15
  4. Step 4: Simplify right side
    14,782.91x = 164,617,125.98
  5. Step 5: Solve for x
    x = 164,617,125.98/14,782.91
  6. Step 6: Final answer
    x = 11,135.64

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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.