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Finding the Fourth Proportional to 2,678.84, 4,012.50 and 2,649.32

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Solution

The fourth proportional to 2,678.84, 4,012.50 and 2,649.32 is: 3,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.84 : 4,012.50 = 2,649.32 : x
  2. Step 2: Convert to fraction form
    2,678.84/4,012.50 = 2,649.32/x
  3. Step 3: Cross multiply
    2,678.84x = 4,012.50 × 2,649.32
  4. Step 4: Simplify right side
    2,678.84x = 10,630,396.50
  5. Step 5: Solve for x
    x = 10,630,396.50/2,678.84
  6. Step 6: Final answer
    x = 3,968.28

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1.5x scale

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.