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Finding the Fourth Proportional to 2,543.48, 3,804.84 and 2,151

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Solution

The fourth proportional to 2,543.48, 3,804.84 and 2,151 is: 3,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.48 : 3,804.84 = 2,151 : x
  2. Step 2: Convert to fraction form
    2,543.48/3,804.84 = 2,151/x
  3. Step 3: Cross multiply
    2,543.48x = 3,804.84 × 2,151
  4. Step 4: Simplify right side
    2,543.48x = 8,184,210.84
  5. Step 5: Solve for x
    x = 8,184,210.84/2,543.48
  6. Step 6: Final answer
    x = 3,217.72

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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.