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Finding the Fourth Proportional to 2,670.52, 3,684.87 and 1,491.60

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Solution

The fourth proportional to 2,670.52, 3,684.87 and 1,491.60 is: 2,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.52 : 3,684.87 = 1,491.60 : x
  2. Step 2: Convert to fraction form
    2,670.52/3,684.87 = 1,491.60/x
  3. Step 3: Cross multiply
    2,670.52x = 3,684.87 × 1,491.60
  4. Step 4: Simplify right side
    2,670.52x = 5,496,352.09
  5. Step 5: Solve for x
    x = 5,496,352.09/2,670.52
  6. Step 6: Final answer
    x = 2,058.16

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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.