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Finding the Fourth Proportional to 2,139.96, 3,210.08 and 659

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Solution

The fourth proportional to 2,139.96, 3,210.08 and 659 is: 988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.96 : 3,210.08 = 659 : x
  2. Step 2: Convert to fraction form
    2,139.96/3,210.08 = 659/x
  3. Step 3: Cross multiply
    2,139.96x = 3,210.08 × 659
  4. Step 4: Simplify right side
    2,139.96x = 2,115,442.72
  5. Step 5: Solve for x
    x = 2,115,442.72/2,139.96
  6. Step 6: Final answer
    x = 988.54

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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.