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Finding the Fourth Proportional to 6,480.60, 9,720.90 and 5,746.20

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Solution

The fourth proportional to 6,480.60, 9,720.90 and 5,746.20 is: 8,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.60 : 9,720.90 = 5,746.20 : x
  2. Step 2: Convert to fraction form
    6,480.60/9,720.90 = 5,746.20/x
  3. Step 3: Cross multiply
    6,480.60x = 9,720.90 × 5,746.20
  4. Step 4: Simplify right side
    6,480.60x = 55,858,235.58
  5. Step 5: Solve for x
    x = 55,858,235.58/6,480.60
  6. Step 6: Final answer
    x = 8,619.30

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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.