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Finding the Fourth Proportional to 9,684, 14,526.81 and 2,758.50

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Solution

The fourth proportional to 9,684, 14,526.81 and 2,758.50 is: 4,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,526.81 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    9,684/14,526.81 = 2,758.50/x
  3. Step 3: Cross multiply
    9,684x = 14,526.81 × 2,758.50
  4. Step 4: Simplify right side
    9,684x = 40,072,205.39
  5. Step 5: Solve for x
    x = 40,072,205.39/9,684
  6. Step 6: Final answer
    x = 4,137.98

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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.