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Finding the Fourth Proportional to 17,815.36, 24,585 and 9,857.64

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Solution

The fourth proportional to 17,815.36, 24,585 and 9,857.64 is: 13,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.36 : 24,585 = 9,857.64 : x
  2. Step 2: Convert to fraction form
    17,815.36/24,585 = 9,857.64/x
  3. Step 3: Cross multiply
    17,815.36x = 24,585 × 9,857.64
  4. Step 4: Simplify right side
    17,815.36x = 242,350,079.40
  5. Step 5: Solve for x
    x = 242,350,079.40/17,815.36
  6. Step 6: Final answer
    x = 13,603.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.