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Finding the Fourth Proportional to 2,328.17, 3,491.51 and 767.81

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Solution

The fourth proportional to 2,328.17, 3,491.51 and 767.81 is: 1,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.17 : 3,491.51 = 767.81 : x
  2. Step 2: Convert to fraction form
    2,328.17/3,491.51 = 767.81/x
  3. Step 3: Cross multiply
    2,328.17x = 3,491.51 × 767.81
  4. Step 4: Simplify right side
    2,328.17x = 2,680,795.00
  5. Step 5: Solve for x
    x = 2,680,795.00/2,328.17
  6. Step 6: Final answer
    x = 1,151.46

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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.