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Finding the Fourth Proportional to 2,619.01, 3,929.12 and 770.14

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Solution

The fourth proportional to 2,619.01, 3,929.12 and 770.14 is: 1,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.01 : 3,929.12 = 770.14 : x
  2. Step 2: Convert to fraction form
    2,619.01/3,929.12 = 770.14/x
  3. Step 3: Cross multiply
    2,619.01x = 3,929.12 × 770.14
  4. Step 4: Simplify right side
    2,619.01x = 3,025,948.98
  5. Step 5: Solve for x
    x = 3,025,948.98/2,619.01
  6. Step 6: Final answer
    x = 1,155.38

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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.