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Finding the Fourth Proportional to 6,335.85, 9,505.80 and 4,258.20

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Solution

The fourth proportional to 6,335.85, 9,505.80 and 4,258.20 is: 6,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.85 : 9,505.80 = 4,258.20 : x
  2. Step 2: Convert to fraction form
    6,335.85/9,505.80 = 4,258.20/x
  3. Step 3: Cross multiply
    6,335.85x = 9,505.80 × 4,258.20
  4. Step 4: Simplify right side
    6,335.85x = 40,477,597.56
  5. Step 5: Solve for x
    x = 40,477,597.56/6,335.85
  6. Step 6: Final answer
    x = 6,388.66

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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.