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Finding the Fourth Proportional to 2,896.30, 3,996.87 and 1,570

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Solution

The fourth proportional to 2,896.30, 3,996.87 and 1,570 is: 2,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.30 : 3,996.87 = 1,570 : x
  2. Step 2: Convert to fraction form
    2,896.30/3,996.87 = 1,570/x
  3. Step 3: Cross multiply
    2,896.30x = 3,996.87 × 1,570
  4. Step 4: Simplify right side
    2,896.30x = 6,275,085.90
  5. Step 5: Solve for x
    x = 6,275,085.90/2,896.30
  6. Step 6: Final answer
    x = 2,166.59

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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.