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Finding the Fourth Proportional to 22,905, 31,608.90 and 12,969

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Solution

The fourth proportional to 22,905, 31,608.90 and 12,969 is: 17,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905 : 31,608.90 = 12,969 : x
  2. Step 2: Convert to fraction form
    22,905/31,608.90 = 12,969/x
  3. Step 3: Cross multiply
    22,905x = 31,608.90 × 12,969
  4. Step 4: Simplify right side
    22,905x = 409,935,824.10
  5. Step 5: Solve for x
    x = 409,935,824.10/22,905
  6. Step 6: Final answer
    x = 17,897.22

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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.