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Finding the Fourth Proportional to 9,729, 14,589.72 and 3,153.60

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Solution

The fourth proportional to 9,729, 14,589.72 and 3,153.60 is: 4,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 14,589.72 = 3,153.60 : x
  2. Step 2: Convert to fraction form
    9,729/14,589.72 = 3,153.60/x
  3. Step 3: Cross multiply
    9,729x = 14,589.72 × 3,153.60
  4. Step 4: Simplify right side
    9,729x = 46,010,140.99
  5. Step 5: Solve for x
    x = 46,010,140.99/9,729
  6. Step 6: Final answer
    x = 4,729.17

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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.