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Finding the Fourth Proportional to 5,288, 7,932 and 1,640

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Solution

The fourth proportional to 5,288, 7,932 and 1,640 is: 2,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288 : 7,932 = 1,640 : x
  2. Step 2: Convert to fraction form
    5,288/7,932 = 1,640/x
  3. Step 3: Cross multiply
    5,288x = 7,932 × 1,640
  4. Step 4: Simplify right side
    5,288x = 13,008,480
  5. Step 5: Solve for x
    x = 13,008,480/5,288
  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.