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Finding the Fourth Proportional to 6,423.50, 9,636.88 and 1,806.50

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Solution

The fourth proportional to 6,423.50, 9,636.88 and 1,806.50 is: 2,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.50 : 9,636.88 = 1,806.50 : x
  2. Step 2: Convert to fraction form
    6,423.50/9,636.88 = 1,806.50/x
  3. Step 3: Cross multiply
    6,423.50x = 9,636.88 × 1,806.50
  4. Step 4: Simplify right side
    6,423.50x = 17,409,023.72
  5. Step 5: Solve for x
    x = 17,409,023.72/6,423.50
  6. Step 6: Final answer
    x = 2,710.21

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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.