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Finding the Fourth Proportional to 43,618, 65,427.64 and 10,786

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Solution

The fourth proportional to 43,618, 65,427.64 and 10,786 is: 16,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,618 : 65,427.64 = 10,786 : x
  2. Step 2: Convert to fraction form
    43,618/65,427.64 = 10,786/x
  3. Step 3: Cross multiply
    43,618x = 65,427.64 × 10,786
  4. Step 4: Simplify right side
    43,618x = 705,702,525.04
  5. Step 5: Solve for x
    x = 705,702,525.04/43,618
  6. Step 6: Final answer
    x = 16,179.16

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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.