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Finding the Fourth Proportional to 1,927.57, 2,888.33 and 1,489.89

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Solution

The fourth proportional to 1,927.57, 2,888.33 and 1,489.89 is: 2,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.57 : 2,888.33 = 1,489.89 : x
  2. Step 2: Convert to fraction form
    1,927.57/2,888.33 = 1,489.89/x
  3. Step 3: Cross multiply
    1,927.57x = 2,888.33 × 1,489.89
  4. Step 4: Simplify right side
    1,927.57x = 4,303,295.62
  5. Step 5: Solve for x
    x = 4,303,295.62/1,927.57
  6. Step 6: Final answer
    x = 2,232.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.