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Finding the Fourth Proportional to 26,534, 36,616.92 and 15,356

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Solution

The fourth proportional to 26,534, 36,616.92 and 15,356 is: 21,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534 : 36,616.92 = 15,356 : x
  2. Step 2: Convert to fraction form
    26,534/36,616.92 = 15,356/x
  3. Step 3: Cross multiply
    26,534x = 36,616.92 × 15,356
  4. Step 4: Simplify right side
    26,534x = 562,289,423.52
  5. Step 5: Solve for x
    x = 562,289,423.52/26,534
  6. Step 6: Final answer
    x = 21,191.28

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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.