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Finding the Fourth Proportional to 2,512, 3,462.78 and 2,215.54

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Solution

The fourth proportional to 2,512, 3,462.78 and 2,215.54 is: 3,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512 : 3,462.78 = 2,215.54 : x
  2. Step 2: Convert to fraction form
    2,512/3,462.78 = 2,215.54/x
  3. Step 3: Cross multiply
    2,512x = 3,462.78 × 2,215.54
  4. Step 4: Simplify right side
    2,512x = 7,671,927.60
  5. Step 5: Solve for x
    x = 7,671,927.60/2,512
  6. Step 6: Final answer
    x = 3,054.11

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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.