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Finding the Fourth Proportional to 2,888.81, 3,986.56 and 1,562.52

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Solution

The fourth proportional to 2,888.81, 3,986.56 and 1,562.52 is: 2,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.81 : 3,986.56 = 1,562.52 : x
  2. Step 2: Convert to fraction form
    2,888.81/3,986.56 = 1,562.52/x
  3. Step 3: Cross multiply
    2,888.81x = 3,986.56 × 1,562.52
  4. Step 4: Simplify right side
    2,888.81x = 6,229,079.73
  5. Step 5: Solve for x
    x = 6,229,079.73/2,888.81
  6. Step 6: Final answer
    x = 2,156.28

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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.