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Finding the Fourth Proportional to 3,130.87, 4,321.01 and 1,786.95

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Solution

The fourth proportional to 3,130.87, 4,321.01 and 1,786.95 is: 2,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.87 : 4,321.01 = 1,786.95 : x
  2. Step 2: Convert to fraction form
    3,130.87/4,321.01 = 1,786.95/x
  3. Step 3: Cross multiply
    3,130.87x = 4,321.01 × 1,786.95
  4. Step 4: Simplify right side
    3,130.87x = 7,721,428.82
  5. Step 5: Solve for x
    x = 7,721,428.82/3,130.87
  6. Step 6: Final answer
    x = 2,466.22

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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.