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Finding the Fourth Proportional to 3,007.02, 4,509.96 and 815.20

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Solution

The fourth proportional to 3,007.02, 4,509.96 and 815.20 is: 1,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.02 : 4,509.96 = 815.20 : x
  2. Step 2: Convert to fraction form
    3,007.02/4,509.96 = 815.20/x
  3. Step 3: Cross multiply
    3,007.02x = 4,509.96 × 815.20
  4. Step 4: Simplify right side
    3,007.02x = 3,676,519.39
  5. Step 5: Solve for x
    x = 3,676,519.39/3,007.02
  6. Step 6: Final answer
    x = 1,222.65

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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.