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Finding the Fourth Proportional to 18,894.16, 26,080.72 and 10,940

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Solution

The fourth proportional to 18,894.16, 26,080.72 and 10,940 is: 15,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.16 : 26,080.72 = 10,940 : x
  2. Step 2: Convert to fraction form
    18,894.16/26,080.72 = 10,940/x
  3. Step 3: Cross multiply
    18,894.16x = 26,080.72 × 10,940
  4. Step 4: Simplify right side
    18,894.16x = 285,323,076.80
  5. Step 5: Solve for x
    x = 285,323,076.80/18,894.16
  6. Step 6: Final answer
    x = 15,101.13

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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.