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Finding the Fourth Proportional to 9,717, 14,577.54 and 3,143.70

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Solution

The fourth proportional to 9,717, 14,577.54 and 3,143.70 is: 4,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 14,577.54 = 3,143.70 : x
  2. Step 2: Convert to fraction form
    9,717/14,577.54 = 3,143.70/x
  3. Step 3: Cross multiply
    9,717x = 14,577.54 × 3,143.70
  4. Step 4: Simplify right side
    9,717x = 45,827,412.50
  5. Step 5: Solve for x
    x = 45,827,412.50/9,717
  6. Step 6: Final answer
    x = 4,716.21

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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.