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Finding the Fourth Proportional to 2,756.50, 4,133.94 and 808.24

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Solution

The fourth proportional to 2,756.50, 4,133.94 and 808.24 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.50 : 4,133.94 = 808.24 : x
  2. Step 2: Convert to fraction form
    2,756.50/4,133.94 = 808.24/x
  3. Step 3: Cross multiply
    2,756.50x = 4,133.94 × 808.24
  4. Step 4: Simplify right side
    2,756.50x = 3,341,215.67
  5. Step 5: Solve for x
    x = 3,341,215.67/2,756.50
  6. Step 6: Final answer
    x = 1,212.12

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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.