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Finding the Fourth Proportional to 2,868.94, 4,302.92 and 1,308.58

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Solution

The fourth proportional to 2,868.94, 4,302.92 and 1,308.58 is: 1,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.94 : 4,302.92 = 1,308.58 : x
  2. Step 2: Convert to fraction form
    2,868.94/4,302.92 = 1,308.58/x
  3. Step 3: Cross multiply
    2,868.94x = 4,302.92 × 1,308.58
  4. Step 4: Simplify right side
    2,868.94x = 5,630,715.05
  5. Step 5: Solve for x
    x = 5,630,715.05/2,868.94
  6. Step 6: Final answer
    x = 1,962.65

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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.