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Finding the Fourth Proportional to 3,006.70, 4,509.52 and 815.61

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Solution

The fourth proportional to 3,006.70, 4,509.52 and 815.61 is: 1,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.70 : 4,509.52 = 815.61 : x
  2. Step 2: Convert to fraction form
    3,006.70/4,509.52 = 815.61/x
  3. Step 3: Cross multiply
    3,006.70x = 4,509.52 × 815.61
  4. Step 4: Simplify right side
    3,006.70x = 3,678,009.61
  5. Step 5: Solve for x
    x = 3,678,009.61/3,006.70
  6. Step 6: Final answer
    x = 1,223.27

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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.