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Finding the Fourth Proportional to 15,205.17, 20,983.28 and 8,745.78

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Solution

The fourth proportional to 15,205.17, 20,983.28 and 8,745.78 is: 12,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.17 : 20,983.28 = 8,745.78 : x
  2. Step 2: Convert to fraction form
    15,205.17/20,983.28 = 8,745.78/x
  3. Step 3: Cross multiply
    15,205.17x = 20,983.28 × 8,745.78
  4. Step 4: Simplify right side
    15,205.17x = 183,515,106.83
  5. Step 5: Solve for x
    x = 183,515,106.83/15,205.17
  6. Step 6: Final answer
    x = 12,069.26

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1.5x scale

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.