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Finding the Fourth Proportional to 2,730.98, 4,096.62 and 783.13

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Solution

The fourth proportional to 2,730.98, 4,096.62 and 783.13 is: 1,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.98 : 4,096.62 = 783.13 : x
  2. Step 2: Convert to fraction form
    2,730.98/4,096.62 = 783.13/x
  3. Step 3: Cross multiply
    2,730.98x = 4,096.62 × 783.13
  4. Step 4: Simplify right side
    2,730.98x = 3,208,161.62
  5. Step 5: Solve for x
    x = 3,208,161.62/2,730.98
  6. Step 6: Final answer
    x = 1,174.73

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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.