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Finding the Fourth Proportional to 3,613, 5,410.32 and 3,280.18

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Solution

The fourth proportional to 3,613, 5,410.32 and 3,280.18 is: 4,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613 : 5,410.32 = 3,280.18 : x
  2. Step 2: Convert to fraction form
    3,613/5,410.32 = 3,280.18/x
  3. Step 3: Cross multiply
    3,613x = 5,410.32 × 3,280.18
  4. Step 4: Simplify right side
    3,613x = 17,746,823.46
  5. Step 5: Solve for x
    x = 17,746,823.46/3,613
  6. Step 6: Final answer
    x = 4,911.94

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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.