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Finding the Fourth Proportional to 6,441.40, 9,659.40 and 2,057.68

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Solution

The fourth proportional to 6,441.40, 9,659.40 and 2,057.68 is: 3,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.40 : 9,659.40 = 2,057.68 : x
  2. Step 2: Convert to fraction form
    6,441.40/9,659.40 = 2,057.68/x
  3. Step 3: Cross multiply
    6,441.40x = 9,659.40 × 2,057.68
  4. Step 4: Simplify right side
    6,441.40x = 19,875,954.19
  5. Step 5: Solve for x
    x = 19,875,954.19/6,441.40
  6. Step 6: Final answer
    x = 3,085.66

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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.