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Finding the Fourth Proportional to 21,143, 31,713.28 and 6,351.60

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Solution

The fourth proportional to 21,143, 31,713.28 and 6,351.60 is: 9,527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143 : 31,713.28 = 6,351.60 : x
  2. Step 2: Convert to fraction form
    21,143/31,713.28 = 6,351.60/x
  3. Step 3: Cross multiply
    21,143x = 31,713.28 × 6,351.60
  4. Step 4: Simplify right side
    21,143x = 201,430,069.25
  5. Step 5: Solve for x
    x = 201,430,069.25/21,143
  6. Step 6: Final answer
    x = 9,527.03

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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.