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Finding the Fourth Proportional to 22,963.03, 31,686.26 and 12,889.26

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Solution

The fourth proportional to 22,963.03, 31,686.26 and 12,889.26 is: 17,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.03 : 31,686.26 = 12,889.26 : x
  2. Step 2: Convert to fraction form
    22,963.03/31,686.26 = 12,889.26/x
  3. Step 3: Cross multiply
    22,963.03x = 31,686.26 × 12,889.26
  4. Step 4: Simplify right side
    22,963.03x = 408,412,379.12
  5. Step 5: Solve for x
    x = 408,412,379.12/22,963.03
  6. Step 6: Final answer
    x = 17,785.65

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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.