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Finding the Fourth Proportional to 22,792, 31,453 and 12,856

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Solution

The fourth proportional to 22,792, 31,453 and 12,856 is: 17,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792 : 31,453 = 12,856 : x
  2. Step 2: Convert to fraction form
    22,792/31,453 = 12,856/x
  3. Step 3: Cross multiply
    22,792x = 31,453 × 12,856
  4. Step 4: Simplify right side
    22,792x = 404,359,768
  5. Step 5: Solve for x
    x = 404,359,768/22,792
  6. Step 6: Final answer
    x = 17,741.30

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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.