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Finding the Fourth Proportional to 3,298.29, 4,946.90 and 989.25

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Solution

The fourth proportional to 3,298.29, 4,946.90 and 989.25 is: 1,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.29 : 4,946.90 = 989.25 : x
  2. Step 2: Convert to fraction form
    3,298.29/4,946.90 = 989.25/x
  3. Step 3: Cross multiply
    3,298.29x = 4,946.90 × 989.25
  4. Step 4: Simplify right side
    3,298.29x = 4,893,715.88
  5. Step 5: Solve for x
    x = 4,893,715.88/3,298.29
  6. Step 6: Final answer
    x = 1,483.71

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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.