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Finding the Fourth Proportional to 6,459.62, 9,690.37 and 2,078.06

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Solution

The fourth proportional to 6,459.62, 9,690.37 and 2,078.06 is: 3,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.62 : 9,690.37 = 2,078.06 : x
  2. Step 2: Convert to fraction form
    6,459.62/9,690.37 = 2,078.06/x
  3. Step 3: Cross multiply
    6,459.62x = 9,690.37 × 2,078.06
  4. Step 4: Simplify right side
    6,459.62x = 20,137,116.64
  5. Step 5: Solve for x
    x = 20,137,116.64/6,459.62
  6. Step 6: Final answer
    x = 3,117.39

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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.