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Finding the Fourth Proportional to 3,980.68, 5,970.92 and 1,059.01

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Solution

The fourth proportional to 3,980.68, 5,970.92 and 1,059.01 is: 1,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.68 : 5,970.92 = 1,059.01 : x
  2. Step 2: Convert to fraction form
    3,980.68/5,970.92 = 1,059.01/x
  3. Step 3: Cross multiply
    3,980.68x = 5,970.92 × 1,059.01
  4. Step 4: Simplify right side
    3,980.68x = 6,323,243.77
  5. Step 5: Solve for x
    x = 6,323,243.77/3,980.68
  6. Step 6: Final answer
    x = 1,588.48

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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.