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Finding the Fourth Proportional to 1,768, 2,438.52 and 1,489.76

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Solution

The fourth proportional to 1,768, 2,438.52 and 1,489.76 is: 2,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768 : 2,438.52 = 1,489.76 : x
  2. Step 2: Convert to fraction form
    1,768/2,438.52 = 1,489.76/x
  3. Step 3: Cross multiply
    1,768x = 2,438.52 × 1,489.76
  4. Step 4: Simplify right side
    1,768x = 3,632,809.56
  5. Step 5: Solve for x
    x = 3,632,809.56/1,768
  6. Step 6: Final answer
    x = 2,054.76

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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.