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Finding the Fourth Proportional to 19,712, 29,568 and 5,120

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Solution

The fourth proportional to 19,712, 29,568 and 5,120 is: 7,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712 : 29,568 = 5,120 : x
  2. Step 2: Convert to fraction form
    19,712/29,568 = 5,120/x
  3. Step 3: Cross multiply
    19,712x = 29,568 × 5,120
  4. Step 4: Simplify right side
    19,712x = 151,388,160
  5. Step 5: Solve for x
    x = 151,388,160/19,712
  6. Step 6: Final answer
    x = 7,680

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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.