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Finding the Fourth Proportional to 9,717, 14,574.24 and 3,142.52

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Solution

The fourth proportional to 9,717, 14,574.24 and 3,142.52 is: 4,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 14,574.24 = 3,142.52 : x
  2. Step 2: Convert to fraction form
    9,717/14,574.24 = 3,142.52/x
  3. Step 3: Cross multiply
    9,717x = 14,574.24 × 3,142.52
  4. Step 4: Simplify right side
    9,717x = 45,799,840.68
  5. Step 5: Solve for x
    x = 45,799,840.68/9,717
  6. Step 6: Final answer
    x = 4,713.37

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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.