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Finding the Fourth Proportional to 3,277.51, 4,913.80 and 1,978.67

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Solution

The fourth proportional to 3,277.51, 4,913.80 and 1,978.67 is: 2,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.51 : 4,913.80 = 1,978.67 : x
  2. Step 2: Convert to fraction form
    3,277.51/4,913.80 = 1,978.67/x
  3. Step 3: Cross multiply
    3,277.51x = 4,913.80 × 1,978.67
  4. Step 4: Simplify right side
    3,277.51x = 9,722,788.65
  5. Step 5: Solve for x
    x = 9,722,788.65/3,277.51
  6. Step 6: Final answer
    x = 2,966.52

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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.