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Finding the Fourth Proportional to 3,980.56, 5,970.42 and 1,059.16

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Solution

The fourth proportional to 3,980.56, 5,970.42 and 1,059.16 is: 1,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.56 : 5,970.42 = 1,059.16 : x
  2. Step 2: Convert to fraction form
    3,980.56/5,970.42 = 1,059.16/x
  3. Step 3: Cross multiply
    3,980.56x = 5,970.42 × 1,059.16
  4. Step 4: Simplify right side
    3,980.56x = 6,323,630.05
  5. Step 5: Solve for x
    x = 6,323,630.05/3,980.56
  6. Step 6: Final answer
    x = 1,588.63

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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.