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Finding the Fourth Proportional to 2,670.76, 3,685.70 and 1,491.82

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Solution

The fourth proportional to 2,670.76, 3,685.70 and 1,491.82 is: 2,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.76 : 3,685.70 = 1,491.82 : x
  2. Step 2: Convert to fraction form
    2,670.76/3,685.70 = 1,491.82/x
  3. Step 3: Cross multiply
    2,670.76x = 3,685.70 × 1,491.82
  4. Step 4: Simplify right side
    2,670.76x = 5,498,400.97
  5. Step 5: Solve for x
    x = 5,498,400.97/2,670.76
  6. Step 6: Final answer
    x = 2,058.74

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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.