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Finding the Fourth Proportional to 13,848, 20,772 and 5,640

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Solution

The fourth proportional to 13,848, 20,772 and 5,640 is: 8,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848 : 20,772 = 5,640 : x
  2. Step 2: Convert to fraction form
    13,848/20,772 = 5,640/x
  3. Step 3: Cross multiply
    13,848x = 20,772 × 5,640
  4. Step 4: Simplify right side
    13,848x = 117,154,080
  5. Step 5: Solve for x
    x = 117,154,080/13,848
  6. Step 6: Final answer
    x = 8,460

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.