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Finding the Fourth Proportional to 3,006.35, 4,509.60 and 814.95

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Solution

The fourth proportional to 3,006.35, 4,509.60 and 814.95 is: 1,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.35 : 4,509.60 = 814.95 : x
  2. Step 2: Convert to fraction form
    3,006.35/4,509.60 = 814.95/x
  3. Step 3: Cross multiply
    3,006.35x = 4,509.60 × 814.95
  4. Step 4: Simplify right side
    3,006.35x = 3,675,098.52
  5. Step 5: Solve for x
    x = 3,675,098.52/3,006.35
  6. Step 6: Final answer
    x = 1,222.45

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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.