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Finding the Fourth Proportional to 26,455, 36,509.70 and 15,277

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Solution

The fourth proportional to 26,455, 36,509.70 and 15,277 is: 21,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,455 : 36,509.70 = 15,277 : x
  2. Step 2: Convert to fraction form
    26,455/36,509.70 = 15,277/x
  3. Step 3: Cross multiply
    26,455x = 36,509.70 × 15,277
  4. Step 4: Simplify right side
    26,455x = 557,758,686.90
  5. Step 5: Solve for x
    x = 557,758,686.90/26,455
  6. Step 6: Final answer
    x = 21,083.30

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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.