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Finding the Fourth Proportional to 2,698.86, 4,045.05 and 966.54

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Solution

The fourth proportional to 2,698.86, 4,045.05 and 966.54 is: 1,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.86 : 4,045.05 = 966.54 : x
  2. Step 2: Convert to fraction form
    2,698.86/4,045.05 = 966.54/x
  3. Step 3: Cross multiply
    2,698.86x = 4,045.05 × 966.54
  4. Step 4: Simplify right side
    2,698.86x = 3,909,702.63
  5. Step 5: Solve for x
    x = 3,909,702.63/2,698.86
  6. Step 6: Final answer
    x = 1,448.65

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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.