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Finding the Fourth Proportional to 5,980.64, 8,972.32 and 1,821.24

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Solution

The fourth proportional to 5,980.64, 8,972.32 and 1,821.24 is: 2,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.64 : 8,972.32 = 1,821.24 : x
  2. Step 2: Convert to fraction form
    5,980.64/8,972.32 = 1,821.24/x
  3. Step 3: Cross multiply
    5,980.64x = 8,972.32 × 1,821.24
  4. Step 4: Simplify right side
    5,980.64x = 16,340,720.12
  5. Step 5: Solve for x
    x = 16,340,720.12/5,980.64
  6. Step 6: Final answer
    x = 2,732.27

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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.