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Finding the Fourth Proportional to 6,647.12, 9,972.12 and 2,030

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Solution

The fourth proportional to 6,647.12, 9,972.12 and 2,030 is: 3,045.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.12 : 9,972.12 = 2,030 : x
  2. Step 2: Convert to fraction form
    6,647.12/9,972.12 = 2,030/x
  3. Step 3: Cross multiply
    6,647.12x = 9,972.12 × 2,030
  4. Step 4: Simplify right side
    6,647.12x = 20,243,403.60
  5. Step 5: Solve for x
    x = 20,243,403.60/6,647.12
  6. Step 6: Final answer
    x = 3,045.44

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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.