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Finding the Fourth Proportional to 5,318.40, 7,977.54 and 1,620.60

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Solution

The fourth proportional to 5,318.40, 7,977.54 and 1,620.60 is: 2,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.40 : 7,977.54 = 1,620.60 : x
  2. Step 2: Convert to fraction form
    5,318.40/7,977.54 = 1,620.60/x
  3. Step 3: Cross multiply
    5,318.40x = 7,977.54 × 1,620.60
  4. Step 4: Simplify right side
    5,318.40x = 12,928,401.32
  5. Step 5: Solve for x
    x = 12,928,401.32/5,318.40
  6. Step 6: Final answer
    x = 2,430.88

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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.