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Finding the Fourth Proportional to 26,480, 36,549 and 15,308.48

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Solution

The fourth proportional to 26,480, 36,549 and 15,308.48 is: 21,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480 : 36,549 = 15,308.48 : x
  2. Step 2: Convert to fraction form
    26,480/36,549 = 15,308.48/x
  3. Step 3: Cross multiply
    26,480x = 36,549 × 15,308.48
  4. Step 4: Simplify right side
    26,480x = 559,509,635.52
  5. Step 5: Solve for x
    x = 559,509,635.52/26,480
  6. Step 6: Final answer
    x = 21,129.52

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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.