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Finding the Fourth Proportional to 5,840, 8,059.20 and 3,980.24

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Solution

The fourth proportional to 5,840, 8,059.20 and 3,980.24 is: 5,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 8,059.20 = 3,980.24 : x
  2. Step 2: Convert to fraction form
    5,840/8,059.20 = 3,980.24/x
  3. Step 3: Cross multiply
    5,840x = 8,059.20 × 3,980.24
  4. Step 4: Simplify right side
    5,840x = 32,077,550.21
  5. Step 5: Solve for x
    x = 32,077,550.21/5,840
  6. Step 6: Final answer
    x = 5,492.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.