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Finding the Fourth Proportional to 6,522.72, 9,784 and 2,140.12

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Solution

The fourth proportional to 6,522.72, 9,784 and 2,140.12 is: 3,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.72 : 9,784 = 2,140.12 : x
  2. Step 2: Convert to fraction form
    6,522.72/9,784 = 2,140.12/x
  3. Step 3: Cross multiply
    6,522.72x = 9,784 × 2,140.12
  4. Step 4: Simplify right side
    6,522.72x = 20,938,934.08
  5. Step 5: Solve for x
    x = 20,938,934.08/6,522.72
  6. Step 6: Final answer
    x = 3,210.15

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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.