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Finding the Fourth Proportional to 2,952, 4,072.64 and 1,772.64

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Solution

The fourth proportional to 2,952, 4,072.64 and 1,772.64 is: 2,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952 : 4,072.64 = 1,772.64 : x
  2. Step 2: Convert to fraction form
    2,952/4,072.64 = 1,772.64/x
  3. Step 3: Cross multiply
    2,952x = 4,072.64 × 1,772.64
  4. Step 4: Simplify right side
    2,952x = 7,219,324.57
  5. Step 5: Solve for x
    x = 7,219,324.57/2,952
  6. Step 6: Final answer
    x = 2,445.57

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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.