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Finding the Fourth Proportional to 3,237.84, 4,855.74 and 2,148

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Solution

The fourth proportional to 3,237.84, 4,855.74 and 2,148 is: 3,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.84 : 4,855.74 = 2,148 : x
  2. Step 2: Convert to fraction form
    3,237.84/4,855.74 = 2,148/x
  3. Step 3: Cross multiply
    3,237.84x = 4,855.74 × 2,148
  4. Step 4: Simplify right side
    3,237.84x = 10,430,129.52
  5. Step 5: Solve for x
    x = 10,430,129.52/3,237.84
  6. Step 6: Final answer
    x = 3,221.32

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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.