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Finding the Fourth Proportional to 2,624.06, 3,934.91 and 774.53

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Solution

The fourth proportional to 2,624.06, 3,934.91 and 774.53 is: 1,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.06 : 3,934.91 = 774.53 : x
  2. Step 2: Convert to fraction form
    2,624.06/3,934.91 = 774.53/x
  3. Step 3: Cross multiply
    2,624.06x = 3,934.91 × 774.53
  4. Step 4: Simplify right side
    2,624.06x = 3,047,705.84
  5. Step 5: Solve for x
    x = 3,047,705.84/2,624.06
  6. Step 6: Final answer
    x = 1,161.45

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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.