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Finding the Fourth Proportional to 6,412.39, 9,605.08 and 5,435.07

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Solution

The fourth proportional to 6,412.39, 9,605.08 and 5,435.07 is: 8,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.39 : 9,605.08 = 5,435.07 : x
  2. Step 2: Convert to fraction form
    6,412.39/9,605.08 = 5,435.07/x
  3. Step 3: Cross multiply
    6,412.39x = 9,605.08 × 5,435.07
  4. Step 4: Simplify right side
    6,412.39x = 52,204,282.16
  5. Step 5: Solve for x
    x = 52,204,282.16/6,412.39
  6. Step 6: Final answer
    x = 8,141.16

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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.