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Finding the Fourth Proportional to 3,072.03, 4,608.08 and 763.53

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Solution

The fourth proportional to 3,072.03, 4,608.08 and 763.53 is: 1,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.03 : 4,608.08 = 763.53 : x
  2. Step 2: Convert to fraction form
    3,072.03/4,608.08 = 763.53/x
  3. Step 3: Cross multiply
    3,072.03x = 4,608.08 × 763.53
  4. Step 4: Simplify right side
    3,072.03x = 3,518,407.32
  5. Step 5: Solve for x
    x = 3,518,407.32/3,072.03
  6. Step 6: Final answer
    x = 1,145.30

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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.