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Finding the Fourth Proportional to 2,866.92, 3,954.67 and 1,803

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Solution

The fourth proportional to 2,866.92, 3,954.67 and 1,803 is: 2,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.92 : 3,954.67 = 1,803 : x
  2. Step 2: Convert to fraction form
    2,866.92/3,954.67 = 1,803/x
  3. Step 3: Cross multiply
    2,866.92x = 3,954.67 × 1,803
  4. Step 4: Simplify right side
    2,866.92x = 7,130,270.01
  5. Step 5: Solve for x
    x = 7,130,270.01/2,866.92
  6. Step 6: Final answer
    x = 2,487.08

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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.