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Finding the Fourth Proportional to 6,457.60, 9,662.10 and 4,270.60

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Solution

The fourth proportional to 6,457.60, 9,662.10 and 4,270.60 is: 6,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.60 : 9,662.10 = 4,270.60 : x
  2. Step 2: Convert to fraction form
    6,457.60/9,662.10 = 4,270.60/x
  3. Step 3: Cross multiply
    6,457.60x = 9,662.10 × 4,270.60
  4. Step 4: Simplify right side
    6,457.60x = 41,262,964.26
  5. Step 5: Solve for x
    x = 41,262,964.26/6,457.60
  6. Step 6: Final answer
    x = 6,389.83

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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.