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Finding the Fourth Proportional to 3,678.20, 5,509.20 and 3,030.20

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Solution

The fourth proportional to 3,678.20, 5,509.20 and 3,030.20 is: 4,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.20 : 5,509.20 = 3,030.20 : x
  2. Step 2: Convert to fraction form
    3,678.20/5,509.20 = 3,030.20/x
  3. Step 3: Cross multiply
    3,678.20x = 5,509.20 × 3,030.20
  4. Step 4: Simplify right side
    3,678.20x = 16,693,977.84
  5. Step 5: Solve for x
    x = 16,693,977.84/3,678.20
  6. Step 6: Final answer
    x = 4,538.63

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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.