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Finding the Fourth Proportional to 20,485.31, 30,735.59 and 8,642.16

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Solution

The fourth proportional to 20,485.31, 30,735.59 and 8,642.16 is: 12,966.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485.31 : 30,735.59 = 8,642.16 : x
  2. Step 2: Convert to fraction form
    20,485.31/30,735.59 = 8,642.16/x
  3. Step 3: Cross multiply
    20,485.31x = 30,735.59 × 8,642.16
  4. Step 4: Simplify right side
    20,485.31x = 265,621,843.26
  5. Step 5: Solve for x
    x = 265,621,843.26/20,485.31
  6. Step 6: Final answer
    x = 12,966.46

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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.