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Finding the Fourth Proportional to 17,113.70, 25,651.35 and 9,721.70

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Solution

The fourth proportional to 17,113.70, 25,651.35 and 9,721.70 is: 14,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.70 : 25,651.35 = 9,721.70 : x
  2. Step 2: Convert to fraction form
    17,113.70/25,651.35 = 9,721.70/x
  3. Step 3: Cross multiply
    17,113.70x = 25,651.35 × 9,721.70
  4. Step 4: Simplify right side
    17,113.70x = 249,374,729.30
  5. Step 5: Solve for x
    x = 249,374,729.30/17,113.70
  6. Step 6: Final answer
    x = 14,571.64

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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.