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Finding the Fourth Proportional to 23,906, 32,990.28 and 13,970

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Solution

The fourth proportional to 23,906, 32,990.28 and 13,970 is: 19,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906 : 32,990.28 = 13,970 : x
  2. Step 2: Convert to fraction form
    23,906/32,990.28 = 13,970/x
  3. Step 3: Cross multiply
    23,906x = 32,990.28 × 13,970
  4. Step 4: Simplify right side
    23,906x = 460,874,211.60
  5. Step 5: Solve for x
    x = 460,874,211.60/23,906
  6. Step 6: Final answer
    x = 19,278.60

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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.