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Finding the Fourth Proportional to 22,814.84, 31,482.62 and 12,742.68

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Solution

The fourth proportional to 22,814.84, 31,482.62 and 12,742.68 is: 17,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.84 : 31,482.62 = 12,742.68 : x
  2. Step 2: Convert to fraction form
    22,814.84/31,482.62 = 12,742.68/x
  3. Step 3: Cross multiply
    22,814.84x = 31,482.62 × 12,742.68
  4. Step 4: Simplify right side
    22,814.84x = 401,172,952.22
  5. Step 5: Solve for x
    x = 401,172,952.22/22,814.84
  6. Step 6: Final answer
    x = 17,583.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.