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Finding the Fourth Proportional to 6,485.60, 9,728.40 and 4,258.40

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Solution

The fourth proportional to 6,485.60, 9,728.40 and 4,258.40 is: 6,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.60 : 9,728.40 = 4,258.40 : x
  2. Step 2: Convert to fraction form
    6,485.60/9,728.40 = 4,258.40/x
  3. Step 3: Cross multiply
    6,485.60x = 9,728.40 × 4,258.40
  4. Step 4: Simplify right side
    6,485.60x = 41,427,418.56
  5. Step 5: Solve for x
    x = 41,427,418.56/6,485.60
  6. Step 6: Final answer
    x = 6,387.60

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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.