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Finding the Fourth Proportional to 6,457.60, 9,679.20 and 3,336.40

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Solution

The fourth proportional to 6,457.60, 9,679.20 and 3,336.40 is: 5,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.60 : 9,679.20 = 3,336.40 : x
  2. Step 2: Convert to fraction form
    6,457.60/9,679.20 = 3,336.40/x
  3. Step 3: Cross multiply
    6,457.60x = 9,679.20 × 3,336.40
  4. Step 4: Simplify right side
    6,457.60x = 32,293,682.88
  5. Step 5: Solve for x
    x = 32,293,682.88/6,457.60
  6. Step 6: Final answer
    x = 5,000.88

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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.