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Finding the Fourth Proportional to 9,829.62, 14,759.22 and 8,457.90

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Solution

The fourth proportional to 9,829.62, 14,759.22 and 8,457.90 is: 12,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.62 : 14,759.22 = 8,457.90 : x
  2. Step 2: Convert to fraction form
    9,829.62/14,759.22 = 8,457.90/x
  3. Step 3: Cross multiply
    9,829.62x = 14,759.22 × 8,457.90
  4. Step 4: Simplify right side
    9,829.62x = 124,832,006.84
  5. Step 5: Solve for x
    x = 124,832,006.84/9,829.62
  6. Step 6: Final answer
    x = 12,699.58

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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.