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Finding the Fourth Proportional to 3,083, 4,624.16 and 774.50

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Solution

The fourth proportional to 3,083, 4,624.16 and 774.50 is: 1,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083 : 4,624.16 = 774.50 : x
  2. Step 2: Convert to fraction form
    3,083/4,624.16 = 774.50/x
  3. Step 3: Cross multiply
    3,083x = 4,624.16 × 774.50
  4. Step 4: Simplify right side
    3,083x = 3,581,411.92
  5. Step 5: Solve for x
    x = 3,581,411.92/3,083
  6. Step 6: Final answer
    x = 1,161.66

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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.