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Finding the Fourth Proportional to 6,665.40, 9,999 and 2,284.08

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Solution

The fourth proportional to 6,665.40, 9,999 and 2,284.08 is: 3,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.40 : 9,999 = 2,284.08 : x
  2. Step 2: Convert to fraction form
    6,665.40/9,999 = 2,284.08/x
  3. Step 3: Cross multiply
    6,665.40x = 9,999 × 2,284.08
  4. Step 4: Simplify right side
    6,665.40x = 22,838,515.92
  5. Step 5: Solve for x
    x = 22,838,515.92/6,665.40
  6. Step 6: Final answer
    x = 3,426.43

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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.