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Finding the Fourth Proportional to 7,729.76, 11,583.84 and 3,830.24

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Solution

The fourth proportional to 7,729.76, 11,583.84 and 3,830.24 is: 5,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.76 : 11,583.84 = 3,830.24 : x
  2. Step 2: Convert to fraction form
    7,729.76/11,583.84 = 3,830.24/x
  3. Step 3: Cross multiply
    7,729.76x = 11,583.84 × 3,830.24
  4. Step 4: Simplify right side
    7,729.76x = 44,368,887.32
  5. Step 5: Solve for x
    x = 44,368,887.32/7,729.76
  6. Step 6: Final answer
    x = 5,740.01

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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.