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Finding the Fourth Proportional to 2,751, 4,124.88 and 1,189.92

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Solution

The fourth proportional to 2,751, 4,124.88 and 1,189.92 is: 1,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751 : 4,124.88 = 1,189.92 : x
  2. Step 2: Convert to fraction form
    2,751/4,124.88 = 1,189.92/x
  3. Step 3: Cross multiply
    2,751x = 4,124.88 × 1,189.92
  4. Step 4: Simplify right side
    2,751x = 4,908,277.21
  5. Step 5: Solve for x
    x = 4,908,277.21/2,751
  6. Step 6: Final answer
    x = 1,784.18

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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.