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Finding the Fourth Proportional to 6,543, 9,813.42 and 2,160.50

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Solution

The fourth proportional to 6,543, 9,813.42 and 2,160.50 is: 3,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543 : 9,813.42 = 2,160.50 : x
  2. Step 2: Convert to fraction form
    6,543/9,813.42 = 2,160.50/x
  3. Step 3: Cross multiply
    6,543x = 9,813.42 × 2,160.50
  4. Step 4: Simplify right side
    6,543x = 21,201,844.84
  5. Step 5: Solve for x
    x = 21,201,844.84/6,543
  6. Step 6: Final answer
    x = 3,240.39

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1.5x scale

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.