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Finding the Fourth Proportional to 6,545, 9,817.50 and 1,681

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Solution

The fourth proportional to 6,545, 9,817.50 and 1,681 is: 2,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 9,817.50 = 1,681 : x
  2. Step 2: Convert to fraction form
    6,545/9,817.50 = 1,681/x
  3. Step 3: Cross multiply
    6,545x = 9,817.50 × 1,681
  4. Step 4: Simplify right side
    6,545x = 16,503,217.50
  5. Step 5: Solve for x
    x = 16,503,217.50/6,545
  6. Step 6: Final answer
    x = 2,521.50

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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.