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Finding the Fourth Proportional to 6,985, 9,639.30 and 4,041

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Solution

The fourth proportional to 6,985, 9,639.30 and 4,041 is: 5,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985 : 9,639.30 = 4,041 : x
  2. Step 2: Convert to fraction form
    6,985/9,639.30 = 4,041/x
  3. Step 3: Cross multiply
    6,985x = 9,639.30 × 4,041
  4. Step 4: Simplify right side
    6,985x = 38,952,411.30
  5. Step 5: Solve for x
    x = 38,952,411.30/6,985
  6. Step 6: Final answer
    x = 5,576.58

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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.