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Finding the Fourth Proportional to 5,288.90, 7,928.40 and 2,004.20

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Solution

The fourth proportional to 5,288.90, 7,928.40 and 2,004.20 is: 3,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.90 : 7,928.40 = 2,004.20 : x
  2. Step 2: Convert to fraction form
    5,288.90/7,928.40 = 2,004.20/x
  3. Step 3: Cross multiply
    5,288.90x = 7,928.40 × 2,004.20
  4. Step 4: Simplify right side
    5,288.90x = 15,890,099.28
  5. Step 5: Solve for x
    x = 15,890,099.28/5,288.90
  6. Step 6: Final answer
    x = 3,004.42

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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.