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Finding the Fourth Proportional to 5,313.94, 7,971.22 and 1,616.30

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Solution

The fourth proportional to 5,313.94, 7,971.22 and 1,616.30 is: 2,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.94 : 7,971.22 = 1,616.30 : x
  2. Step 2: Convert to fraction form
    5,313.94/7,971.22 = 1,616.30/x
  3. Step 3: Cross multiply
    5,313.94x = 7,971.22 × 1,616.30
  4. Step 4: Simplify right side
    5,313.94x = 12,883,882.89
  5. Step 5: Solve for x
    x = 12,883,882.89/5,313.94
  6. Step 6: Final answer
    x = 2,424.54

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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.