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Finding the Fourth Proportional to 6,453, 8,905.14 and 3,509

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Solution

The fourth proportional to 6,453, 8,905.14 and 3,509 is: 4,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 8,905.14 = 3,509 : x
  2. Step 2: Convert to fraction form
    6,453/8,905.14 = 3,509/x
  3. Step 3: Cross multiply
    6,453x = 8,905.14 × 3,509
  4. Step 4: Simplify right side
    6,453x = 31,248,136.26
  5. Step 5: Solve for x
    x = 31,248,136.26/6,453
  6. Step 6: Final answer
    x = 4,842.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.