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Finding the Fourth Proportional to 22,987, 31,722.09 and 13,051

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Solution

The fourth proportional to 22,987, 31,722.09 and 13,051 is: 18,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987 : 31,722.09 = 13,051 : x
  2. Step 2: Convert to fraction form
    22,987/31,722.09 = 13,051/x
  3. Step 3: Cross multiply
    22,987x = 31,722.09 × 13,051
  4. Step 4: Simplify right side
    22,987x = 414,004,996.59
  5. Step 5: Solve for x
    x = 414,004,996.59/22,987
  6. Step 6: Final answer
    x = 18,010.40

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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.