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Finding the Fourth Proportional to 3,254.74, 4,491.51 and 1,929.07

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Solution

The fourth proportional to 3,254.74, 4,491.51 and 1,929.07 is: 2,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.74 : 4,491.51 = 1,929.07 : x
  2. Step 2: Convert to fraction form
    3,254.74/4,491.51 = 1,929.07/x
  3. Step 3: Cross multiply
    3,254.74x = 4,491.51 × 1,929.07
  4. Step 4: Simplify right side
    3,254.74x = 8,664,427.55
  5. Step 5: Solve for x
    x = 8,664,427.55/3,254.74
  6. Step 6: Final answer
    x = 2,662.10

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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.