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Finding the Fourth Proportional to 12,704, 17,529.85 and 7,326.63

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Solution

The fourth proportional to 12,704, 17,529.85 and 7,326.63 is: 10,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 17,529.85 = 7,326.63 : x
  2. Step 2: Convert to fraction form
    12,704/17,529.85 = 7,326.63/x
  3. Step 3: Cross multiply
    12,704x = 17,529.85 × 7,326.63
  4. Step 4: Simplify right side
    12,704x = 128,434,724.91
  5. Step 5: Solve for x
    x = 128,434,724.91/12,704
  6. Step 6: Final answer
    x = 10,109.79

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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.