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Finding the Fourth Proportional to 10,857.84, 16,287.39 and 3,066

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Solution

The fourth proportional to 10,857.84, 16,287.39 and 3,066 is: 4,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.84 : 16,287.39 = 3,066 : x
  2. Step 2: Convert to fraction form
    10,857.84/16,287.39 = 3,066/x
  3. Step 3: Cross multiply
    10,857.84x = 16,287.39 × 3,066
  4. Step 4: Simplify right side
    10,857.84x = 49,937,137.74
  5. Step 5: Solve for x
    x = 49,937,137.74/10,857.84
  6. Step 6: Final answer
    x = 4,599.18

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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.