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Finding the Fourth Proportional to 5,709.20, 8,563.80 and 5,271.80

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Solution

The fourth proportional to 5,709.20, 8,563.80 and 5,271.80 is: 7,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.20 : 8,563.80 = 5,271.80 : x
  2. Step 2: Convert to fraction form
    5,709.20/8,563.80 = 5,271.80/x
  3. Step 3: Cross multiply
    5,709.20x = 8,563.80 × 5,271.80
  4. Step 4: Simplify right side
    5,709.20x = 45,146,640.84
  5. Step 5: Solve for x
    x = 45,146,640.84/5,709.20
  6. Step 6: Final answer
    x = 7,907.70

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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.