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Finding the Fourth Proportional to 8,969.98, 13,459.36 and 6,354.30

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Solution

The fourth proportional to 8,969.98, 13,459.36 and 6,354.30 is: 9,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.98 : 13,459.36 = 6,354.30 : x
  2. Step 2: Convert to fraction form
    8,969.98/13,459.36 = 6,354.30/x
  3. Step 3: Cross multiply
    8,969.98x = 13,459.36 × 6,354.30
  4. Step 4: Simplify right side
    8,969.98x = 85,524,811.25
  5. Step 5: Solve for x
    x = 85,524,811.25/8,969.98
  6. Step 6: Final answer
    x = 9,534.56

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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.