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Finding the Fourth Proportional to 18,825.64, 28,221.18 and 6,505

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Solution

The fourth proportional to 18,825.64, 28,221.18 and 6,505 is: 9,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.64 : 28,221.18 = 6,505 : x
  2. Step 2: Convert to fraction form
    18,825.64/28,221.18 = 6,505/x
  3. Step 3: Cross multiply
    18,825.64x = 28,221.18 × 6,505
  4. Step 4: Simplify right side
    18,825.64x = 183,578,775.90
  5. Step 5: Solve for x
    x = 183,578,775.90/18,825.64
  6. Step 6: Final answer
    x = 9,751.53

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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.