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Finding the Fourth Proportional to 22,902, 31,604.76 and 12,966

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Solution

The fourth proportional to 22,902, 31,604.76 and 12,966 is: 17,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 31,604.76 = 12,966 : x
  2. Step 2: Convert to fraction form
    22,902/31,604.76 = 12,966/x
  3. Step 3: Cross multiply
    22,902x = 31,604.76 × 12,966
  4. Step 4: Simplify right side
    22,902x = 409,787,318.16
  5. Step 5: Solve for x
    x = 409,787,318.16/22,902
  6. Step 6: Final answer
    x = 17,893.08

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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.