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Finding the Fourth Proportional to 20,983.95, 31,465.95 and 7,647.50

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Solution

The fourth proportional to 20,983.95, 31,465.95 and 7,647.50 is: 11,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,983.95 : 31,465.95 = 7,647.50 : x
  2. Step 2: Convert to fraction form
    20,983.95/31,465.95 = 7,647.50/x
  3. Step 3: Cross multiply
    20,983.95x = 31,465.95 × 7,647.50
  4. Step 4: Simplify right side
    20,983.95x = 240,635,852.63
  5. Step 5: Solve for x
    x = 240,635,852.63/20,983.95
  6. Step 6: Final answer
    x = 11,467.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.