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Finding the Fourth Proportional to 14,159.75, 19,539.70 and 7,786.22

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Solution

The fourth proportional to 14,159.75, 19,539.70 and 7,786.22 is: 10,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.75 : 19,539.70 = 7,786.22 : x
  2. Step 2: Convert to fraction form
    14,159.75/19,539.70 = 7,786.22/x
  3. Step 3: Cross multiply
    14,159.75x = 19,539.70 × 7,786.22
  4. Step 4: Simplify right side
    14,159.75x = 152,140,285.77
  5. Step 5: Solve for x
    x = 152,140,285.77/14,159.75
  6. Step 6: Final answer
    x = 10,744.56

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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.