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Finding the Fourth Proportional to 2,491.33, 3,729 and 1,656.47

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Solution

The fourth proportional to 2,491.33, 3,729 and 1,656.47 is: 2,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.33 : 3,729 = 1,656.47 : x
  2. Step 2: Convert to fraction form
    2,491.33/3,729 = 1,656.47/x
  3. Step 3: Cross multiply
    2,491.33x = 3,729 × 1,656.47
  4. Step 4: Simplify right side
    2,491.33x = 6,176,957.99
  5. Step 5: Solve for x
    x = 6,176,957.99/2,491.33
  6. Step 6: Final answer
    x = 2,479.38

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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.