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Finding the Fourth Proportional to 7,143.84, 9,858.48 and 4,000

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Solution

The fourth proportional to 7,143.84, 9,858.48 and 4,000 is: 5,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 9,858.48 = 4,000 : x
  2. Step 2: Convert to fraction form
    7,143.84/9,858.48 = 4,000/x
  3. Step 3: Cross multiply
    7,143.84x = 9,858.48 × 4,000
  4. Step 4: Simplify right side
    7,143.84x = 39,433,920
  5. Step 5: Solve for x
    x = 39,433,920/7,143.84
  6. Step 6: Final answer
    x = 5,519.99

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Why These Related Problems?

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