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Finding the Fourth Proportional to 26,533, 36,615.54 and 15,355

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Solution

The fourth proportional to 26,533, 36,615.54 and 15,355 is: 21,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,533 : 36,615.54 = 15,355 : x
  2. Step 2: Convert to fraction form
    26,533/36,615.54 = 15,355/x
  3. Step 3: Cross multiply
    26,533x = 36,615.54 × 15,355
  4. Step 4: Simplify right side
    26,533x = 562,231,616.70
  5. Step 5: Solve for x
    x = 562,231,616.70/26,533
  6. Step 6: Final answer
    x = 21,189.90

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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.