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Finding the Fourth Proportional to 3,257.76, 4,495.01 and 1,931.90

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Solution

The fourth proportional to 3,257.76, 4,495.01 and 1,931.90 is: 2,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.76 : 4,495.01 = 1,931.90 : x
  2. Step 2: Convert to fraction form
    3,257.76/4,495.01 = 1,931.90/x
  3. Step 3: Cross multiply
    3,257.76x = 4,495.01 × 1,931.90
  4. Step 4: Simplify right side
    3,257.76x = 8,683,892.17
  5. Step 5: Solve for x
    x = 8,683,892.17/3,257.76
  6. Step 6: Final answer
    x = 2,665.60

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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.