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Finding the Fourth Proportional to 2,511, 3,460.32 and 2,478.60

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Solution

The fourth proportional to 2,511, 3,460.32 and 2,478.60 is: 3,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 3,460.32 = 2,478.60 : x
  2. Step 2: Convert to fraction form
    2,511/3,460.32 = 2,478.60/x
  3. Step 3: Cross multiply
    2,511x = 3,460.32 × 2,478.60
  4. Step 4: Simplify right side
    2,511x = 8,576,749.15
  5. Step 5: Solve for x
    x = 8,576,749.15/2,511
  6. Step 6: Final answer
    x = 3,415.67

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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.