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Finding the Fourth Proportional to 22,822.70, 31,495.40 and 12,751.49

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Solution

The fourth proportional to 22,822.70, 31,495.40 and 12,751.49 is: 17,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.70 : 31,495.40 = 12,751.49 : x
  2. Step 2: Convert to fraction form
    22,822.70/31,495.40 = 12,751.49/x
  3. Step 3: Cross multiply
    22,822.70x = 31,495.40 × 12,751.49
  4. Step 4: Simplify right side
    22,822.70x = 401,613,340.95
  5. Step 5: Solve for x
    x = 401,613,340.95/22,822.70
  6. Step 6: Final answer
    x = 17,597.10

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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.