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Finding the Fourth Proportional to 22,989, 31,724.85 and 13,053

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Solution

The fourth proportional to 22,989, 31,724.85 and 13,053 is: 18,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989 : 31,724.85 = 13,053 : x
  2. Step 2: Convert to fraction form
    22,989/31,724.85 = 13,053/x
  3. Step 3: Cross multiply
    22,989x = 31,724.85 × 13,053
  4. Step 4: Simplify right side
    22,989x = 414,104,467.05
  5. Step 5: Solve for x
    x = 414,104,467.05/22,989
  6. Step 6: Final answer
    x = 18,013.16

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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.