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Finding the Fourth Proportional to 3,315.94, 4,576.64 and 1,971.81

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Solution

The fourth proportional to 3,315.94, 4,576.64 and 1,971.81 is: 2,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.94 : 4,576.64 = 1,971.81 : x
  2. Step 2: Convert to fraction form
    3,315.94/4,576.64 = 1,971.81/x
  3. Step 3: Cross multiply
    3,315.94x = 4,576.64 × 1,971.81
  4. Step 4: Simplify right side
    3,315.94x = 9,024,254.66
  5. Step 5: Solve for x
    x = 9,024,254.66/3,315.94
  6. Step 6: Final answer
    x = 2,721.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.