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Finding the Fourth Proportional to 5,083.16, 7,624.74 and 1,620.68

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Solution

The fourth proportional to 5,083.16, 7,624.74 and 1,620.68 is: 2,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.16 : 7,624.74 = 1,620.68 : x
  2. Step 2: Convert to fraction form
    5,083.16/7,624.74 = 1,620.68/x
  3. Step 3: Cross multiply
    5,083.16x = 7,624.74 × 1,620.68
  4. Step 4: Simplify right side
    5,083.16x = 12,357,263.62
  5. Step 5: Solve for x
    x = 12,357,263.62/5,083.16
  6. Step 6: Final answer
    x = 2,431.02

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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.