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Finding the Fourth Proportional to 13,984, 20,972.16 and 5,222.40

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Solution

The fourth proportional to 13,984, 20,972.16 and 5,222.40 is: 7,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 20,972.16 = 5,222.40 : x
  2. Step 2: Convert to fraction form
    13,984/20,972.16 = 5,222.40/x
  3. Step 3: Cross multiply
    13,984x = 20,972.16 × 5,222.40
  4. Step 4: Simplify right side
    13,984x = 109,525,008.38
  5. Step 5: Solve for x
    x = 109,525,008.38/13,984
  6. Step 6: Final answer
    x = 7,832.17

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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.