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Finding the Fourth Proportional to 6,480.48, 9,720.87 and 4,847.40

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Solution

The fourth proportional to 6,480.48, 9,720.87 and 4,847.40 is: 7,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.48 : 9,720.87 = 4,847.40 : x
  2. Step 2: Convert to fraction form
    6,480.48/9,720.87 = 4,847.40/x
  3. Step 3: Cross multiply
    6,480.48x = 9,720.87 × 4,847.40
  4. Step 4: Simplify right side
    6,480.48x = 47,120,945.24
  5. Step 5: Solve for x
    x = 47,120,945.24/6,480.48
  6. Step 6: Final answer
    x = 7,271.21

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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.