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Finding the Fourth Proportional to 12,963.52, 17,889.66 and 7,589.64

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Solution

The fourth proportional to 12,963.52, 17,889.66 and 7,589.64 is: 10,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.52 : 17,889.66 = 7,589.64 : x
  2. Step 2: Convert to fraction form
    12,963.52/17,889.66 = 7,589.64/x
  3. Step 3: Cross multiply
    12,963.52x = 17,889.66 × 7,589.64
  4. Step 4: Simplify right side
    12,963.52x = 135,776,079.12
  5. Step 5: Solve for x
    x = 135,776,079.12/12,963.52
  6. Step 6: Final answer
    x = 10,473.70

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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.