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Finding the Fourth Proportional to 2,166.63, 3,248.93 and 779.58

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Solution

The fourth proportional to 2,166.63, 3,248.93 and 779.58 is: 1,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.63 : 3,248.93 = 779.58 : x
  2. Step 2: Convert to fraction form
    2,166.63/3,248.93 = 779.58/x
  3. Step 3: Cross multiply
    2,166.63x = 3,248.93 × 779.58
  4. Step 4: Simplify right side
    2,166.63x = 2,532,796.95
  5. Step 5: Solve for x
    x = 2,532,796.95/2,166.63
  6. Step 6: Final answer
    x = 1,169.00

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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.