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Finding the Fourth Proportional to 3,398.02, 4,688.74 and 1,905.72

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Solution

The fourth proportional to 3,398.02, 4,688.74 and 1,905.72 is: 2,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.02 : 4,688.74 = 1,905.72 : x
  2. Step 2: Convert to fraction form
    3,398.02/4,688.74 = 1,905.72/x
  3. Step 3: Cross multiply
    3,398.02x = 4,688.74 × 1,905.72
  4. Step 4: Simplify right side
    3,398.02x = 8,935,425.59
  5. Step 5: Solve for x
    x = 8,935,425.59/3,398.02
  6. Step 6: Final answer
    x = 2,629.60

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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.