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Finding the Fourth Proportional to 3,253.19, 4,879.79 and 788.00

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Solution

The fourth proportional to 3,253.19, 4,879.79 and 788.00 is: 1,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.19 : 4,879.79 = 788.00 : x
  2. Step 2: Convert to fraction form
    3,253.19/4,879.79 = 788.00/x
  3. Step 3: Cross multiply
    3,253.19x = 4,879.79 × 788.00
  4. Step 4: Simplify right side
    3,253.19x = 3,845,294.74
  5. Step 5: Solve for x
    x = 3,845,294.74/3,253.19
  6. Step 6: Final answer
    x = 1,182.01

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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.