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Finding the Fourth Proportional to 12,486.66, 18,712.62 and 9,700.62

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Solution

The fourth proportional to 12,486.66, 18,712.62 and 9,700.62 is: 14,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.66 : 18,712.62 = 9,700.62 : x
  2. Step 2: Convert to fraction form
    12,486.66/18,712.62 = 9,700.62/x
  3. Step 3: Cross multiply
    12,486.66x = 18,712.62 × 9,700.62
  4. Step 4: Simplify right side
    12,486.66x = 181,524,015.82
  5. Step 5: Solve for x
    x = 181,524,015.82/12,486.66
  6. Step 6: Final answer
    x = 14,537.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.