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Finding the Fourth Proportional to 6,428.92, 9,645.47 and 2,918.51

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Solution

The fourth proportional to 6,428.92, 9,645.47 and 2,918.51 is: 4,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.92 : 9,645.47 = 2,918.51 : x
  2. Step 2: Convert to fraction form
    6,428.92/9,645.47 = 2,918.51/x
  3. Step 3: Cross multiply
    6,428.92x = 9,645.47 × 2,918.51
  4. Step 4: Simplify right side
    6,428.92x = 28,150,386.06
  5. Step 5: Solve for x
    x = 28,150,386.06/6,428.92
  6. Step 6: Final answer
    x = 4,378.71

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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.