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Finding the Fourth Proportional to 3,128.06, 4,691.93 and 788.06

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Solution

The fourth proportional to 3,128.06, 4,691.93 and 788.06 is: 1,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.06 : 4,691.93 = 788.06 : x
  2. Step 2: Convert to fraction form
    3,128.06/4,691.93 = 788.06/x
  3. Step 3: Cross multiply
    3,128.06x = 4,691.93 × 788.06
  4. Step 4: Simplify right side
    3,128.06x = 3,697,530.15
  5. Step 5: Solve for x
    x = 3,697,530.15/3,128.06
  6. Step 6: Final answer
    x = 1,182.05

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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.