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Finding the Fourth Proportional to 15,900.12, 23,804.82 and 12,618

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Solution

The fourth proportional to 15,900.12, 23,804.82 and 12,618 is: 18,891.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.12 : 23,804.82 = 12,618 : x
  2. Step 2: Convert to fraction form
    15,900.12/23,804.82 = 12,618/x
  3. Step 3: Cross multiply
    15,900.12x = 23,804.82 × 12,618
  4. Step 4: Simplify right side
    15,900.12x = 300,369,218.76
  5. Step 5: Solve for x
    x = 300,369,218.76/15,900.12
  6. Step 6: Final answer
    x = 18,891.00

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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.