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Finding the Fourth Proportional to 14,159.52, 19,542.48 and 8,782.56

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Solution

The fourth proportional to 14,159.52, 19,542.48 and 8,782.56 is: 12,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.52 : 19,542.48 = 8,782.56 : x
  2. Step 2: Convert to fraction form
    14,159.52/19,542.48 = 8,782.56/x
  3. Step 3: Cross multiply
    14,159.52x = 19,542.48 × 8,782.56
  4. Step 4: Simplify right side
    14,159.52x = 171,633,003.15
  5. Step 5: Solve for x
    x = 171,633,003.15/14,159.52
  6. Step 6: Final answer
    x = 12,121.39

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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.