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Finding the Fourth Proportional to 2,886, 3,980.93 and 1,707.45

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Solution

The fourth proportional to 2,886, 3,980.93 and 1,707.45 is: 2,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886 : 3,980.93 = 1,707.45 : x
  2. Step 2: Convert to fraction form
    2,886/3,980.93 = 1,707.45/x
  3. Step 3: Cross multiply
    2,886x = 3,980.93 × 1,707.45
  4. Step 4: Simplify right side
    2,886x = 6,797,230.39
  5. Step 5: Solve for x
    x = 6,797,230.39/2,886
  6. Step 6: Final answer
    x = 2,355.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.