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Finding the Fourth Proportional to 3,006.30, 4,509.48 and 815.07

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Solution

The fourth proportional to 3,006.30, 4,509.48 and 815.07 is: 1,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.30 : 4,509.48 = 815.07 : x
  2. Step 2: Convert to fraction form
    3,006.30/4,509.48 = 815.07/x
  3. Step 3: Cross multiply
    3,006.30x = 4,509.48 × 815.07
  4. Step 4: Simplify right side
    3,006.30x = 3,675,541.86
  5. Step 5: Solve for x
    x = 3,675,541.86/3,006.30
  6. Step 6: Final answer
    x = 1,222.61

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Similar ratio
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1.5x scale

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.