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Finding the Fourth Proportional to 12,306, 18,458.92 and 3,072

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Solution

The fourth proportional to 12,306, 18,458.92 and 3,072 is: 4,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306 : 18,458.92 = 3,072 : x
  2. Step 2: Convert to fraction form
    12,306/18,458.92 = 3,072/x
  3. Step 3: Cross multiply
    12,306x = 18,458.92 × 3,072
  4. Step 4: Simplify right side
    12,306x = 56,705,802.24
  5. Step 5: Solve for x
    x = 56,705,802.24/12,306
  6. Step 6: Final answer
    x = 4,607.98

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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.