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Finding the Fourth Proportional to 6,523, 9,784.50 and 2,419

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Solution

The fourth proportional to 6,523, 9,784.50 and 2,419 is: 3,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523 : 9,784.50 = 2,419 : x
  2. Step 2: Convert to fraction form
    6,523/9,784.50 = 2,419/x
  3. Step 3: Cross multiply
    6,523x = 9,784.50 × 2,419
  4. Step 4: Simplify right side
    6,523x = 23,668,705.50
  5. Step 5: Solve for x
    x = 23,668,705.50/6,523
  6. Step 6: Final answer
    x = 3,628.50

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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.