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Finding the Fourth Proportional to 3,260, 4,890 and 1,068.68

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Solution

The fourth proportional to 3,260, 4,890 and 1,068.68 is: 1,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260 : 4,890 = 1,068.68 : x
  2. Step 2: Convert to fraction form
    3,260/4,890 = 1,068.68/x
  3. Step 3: Cross multiply
    3,260x = 4,890 × 1,068.68
  4. Step 4: Simplify right side
    3,260x = 5,225,845.20
  5. Step 5: Solve for x
    x = 5,225,845.20/3,260
  6. Step 6: Final answer
    x = 1,603.02

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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.