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Finding the Fourth Proportional to 4,630.06, 6,945.12 and 1,343.20

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Solution

The fourth proportional to 4,630.06, 6,945.12 and 1,343.20 is: 2,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.06 : 6,945.12 = 1,343.20 : x
  2. Step 2: Convert to fraction form
    4,630.06/6,945.12 = 1,343.20/x
  3. Step 3: Cross multiply
    4,630.06x = 6,945.12 × 1,343.20
  4. Step 4: Simplify right side
    4,630.06x = 9,328,685.18
  5. Step 5: Solve for x
    x = 9,328,685.18/4,630.06
  6. Step 6: Final answer
    x = 2,014.81

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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.