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Finding the Fourth Proportional to 3,200.64, 4,798.64 and 2,158.08

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Solution

The fourth proportional to 3,200.64, 4,798.64 and 2,158.08 is: 3,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.64 : 4,798.64 = 2,158.08 : x
  2. Step 2: Convert to fraction form
    3,200.64/4,798.64 = 2,158.08/x
  3. Step 3: Cross multiply
    3,200.64x = 4,798.64 × 2,158.08
  4. Step 4: Simplify right side
    3,200.64x = 10,355,849.01
  5. Step 5: Solve for x
    x = 10,355,849.01/3,200.64
  6. Step 6: Final answer
    x = 3,235.56

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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.