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Finding the Fourth Proportional to 6,419.71, 9,628.81 and 1,739.43

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Solution

The fourth proportional to 6,419.71, 9,628.81 and 1,739.43 is: 2,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.71 : 9,628.81 = 1,739.43 : x
  2. Step 2: Convert to fraction form
    6,419.71/9,628.81 = 1,739.43/x
  3. Step 3: Cross multiply
    6,419.71x = 9,628.81 × 1,739.43
  4. Step 4: Simplify right side
    6,419.71x = 16,748,663.71
  5. Step 5: Solve for x
    x = 16,748,663.71/6,419.71
  6. Step 6: Final answer
    x = 2,608.94

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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.