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Finding the Fourth Proportional to 6,302.12, 9,453.18 and 1,685

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Solution

The fourth proportional to 6,302.12, 9,453.18 and 1,685 is: 2,527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.12 : 9,453.18 = 1,685 : x
  2. Step 2: Convert to fraction form
    6,302.12/9,453.18 = 1,685/x
  3. Step 3: Cross multiply
    6,302.12x = 9,453.18 × 1,685
  4. Step 4: Simplify right side
    6,302.12x = 15,928,608.30
  5. Step 5: Solve for x
    x = 15,928,608.30/6,302.12
  6. Step 6: Final answer
    x = 2,527.50

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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.