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Finding the Fourth Proportional to 5,744, 8,616 and 1,640

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Solution

The fourth proportional to 5,744, 8,616 and 1,640 is: 2,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 8,616 = 1,640 : x
  2. Step 2: Convert to fraction form
    5,744/8,616 = 1,640/x
  3. Step 3: Cross multiply
    5,744x = 8,616 × 1,640
  4. Step 4: Simplify right side
    5,744x = 14,130,240
  5. Step 5: Solve for x
    x = 14,130,240/5,744
  6. Step 6: Final answer
    x = 2,460

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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.