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Finding the Fourth Proportional to 2,674.84, 4,011.22 and 919.51

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Solution

The fourth proportional to 2,674.84, 4,011.22 and 919.51 is: 1,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.84 : 4,011.22 = 919.51 : x
  2. Step 2: Convert to fraction form
    2,674.84/4,011.22 = 919.51/x
  3. Step 3: Cross multiply
    2,674.84x = 4,011.22 × 919.51
  4. Step 4: Simplify right side
    2,674.84x = 3,688,356.90
  5. Step 5: Solve for x
    x = 3,688,356.90/2,674.84
  6. Step 6: Final answer
    x = 1,378.91

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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.