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Finding the Fourth Proportional to 2,112.48, 3,168 and 651.72

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Solution

The fourth proportional to 2,112.48, 3,168 and 651.72 is: 977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.48 : 3,168 = 651.72 : x
  2. Step 2: Convert to fraction form
    2,112.48/3,168 = 651.72/x
  3. Step 3: Cross multiply
    2,112.48x = 3,168 × 651.72
  4. Step 4: Simplify right side
    2,112.48x = 2,064,648.96
  5. Step 5: Solve for x
    x = 2,064,648.96/2,112.48
  6. Step 6: Final answer
    x = 977.36

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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.