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Finding the Fourth Proportional to 2,064.88, 2,848.71 and 1,318.65

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Solution

The fourth proportional to 2,064.88, 2,848.71 and 1,318.65 is: 1,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.88 : 2,848.71 = 1,318.65 : x
  2. Step 2: Convert to fraction form
    2,064.88/2,848.71 = 1,318.65/x
  3. Step 3: Cross multiply
    2,064.88x = 2,848.71 × 1,318.65
  4. Step 4: Simplify right side
    2,064.88x = 3,756,451.44
  5. Step 5: Solve for x
    x = 3,756,451.44/2,064.88
  6. Step 6: Final answer
    x = 1,819.21

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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.