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Finding the Fourth Proportional to 22,753.34, 31,400.67 and 12,681.84

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Solution

The fourth proportional to 22,753.34, 31,400.67 and 12,681.84 is: 17,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.34 : 31,400.67 = 12,681.84 : x
  2. Step 2: Convert to fraction form
    22,753.34/31,400.67 = 12,681.84/x
  3. Step 3: Cross multiply
    22,753.34x = 31,400.67 × 12,681.84
  4. Step 4: Simplify right side
    22,753.34x = 398,218,438.14
  5. Step 5: Solve for x
    x = 398,218,438.14/22,753.34
  6. Step 6: Final answer
    x = 17,501.54

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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.