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Finding the Fourth Proportional to 2,749, 4,124.64 and 1,106.71

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Solution

The fourth proportional to 2,749, 4,124.64 and 1,106.71 is: 1,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749 : 4,124.64 = 1,106.71 : x
  2. Step 2: Convert to fraction form
    2,749/4,124.64 = 1,106.71/x
  3. Step 3: Cross multiply
    2,749x = 4,124.64 × 1,106.71
  4. Step 4: Simplify right side
    2,749x = 4,564,780.33
  5. Step 5: Solve for x
    x = 4,564,780.33/2,749
  6. Step 6: Final answer
    x = 1,660.52

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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.