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Finding the Fourth Proportional to 2,376.74, 3,278.50 and 1,491.00

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Solution

The fourth proportional to 2,376.74, 3,278.50 and 1,491.00 is: 2,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.74 : 3,278.50 = 1,491.00 : x
  2. Step 2: Convert to fraction form
    2,376.74/3,278.50 = 1,491.00/x
  3. Step 3: Cross multiply
    2,376.74x = 3,278.50 × 1,491.00
  4. Step 4: Simplify right side
    2,376.74x = 4,888,252.07
  5. Step 5: Solve for x
    x = 4,888,252.07/2,376.74
  6. Step 6: Final answer
    x = 2,056.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.