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Finding the Fourth Proportional to 9,403, 14,104.71 and 3,163.21

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Solution

The fourth proportional to 9,403, 14,104.71 and 3,163.21 is: 4,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403 : 14,104.71 = 3,163.21 : x
  2. Step 2: Convert to fraction form
    9,403/14,104.71 = 3,163.21/x
  3. Step 3: Cross multiply
    9,403x = 14,104.71 × 3,163.21
  4. Step 4: Simplify right side
    9,403x = 44,616,159.72
  5. Step 5: Solve for x
    x = 44,616,159.72/9,403
  6. Step 6: Final answer
    x = 4,744.89

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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.