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Finding the Fourth Proportional to 43,649, 65,473.50 and 10,817

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Solution

The fourth proportional to 43,649, 65,473.50 and 10,817 is: 16,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,649 : 65,473.50 = 10,817 : x
  2. Step 2: Convert to fraction form
    43,649/65,473.50 = 10,817/x
  3. Step 3: Cross multiply
    43,649x = 65,473.50 × 10,817
  4. Step 4: Simplify right side
    43,649x = 708,226,849.50
  5. Step 5: Solve for x
    x = 708,226,849.50/43,649
  6. Step 6: Final answer
    x = 16,225.50

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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.