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Finding the Fourth Proportional to 23,174.94, 31,981.47 and 12,564.63

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Solution

The fourth proportional to 23,174.94, 31,981.47 and 12,564.63 is: 17,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.94 : 31,981.47 = 12,564.63 : x
  2. Step 2: Convert to fraction form
    23,174.94/31,981.47 = 12,564.63/x
  3. Step 3: Cross multiply
    23,174.94x = 31,981.47 × 12,564.63
  4. Step 4: Simplify right side
    23,174.94x = 401,835,337.41
  5. Step 5: Solve for x
    x = 401,835,337.41/23,174.94
  6. Step 6: Final answer
    x = 17,339.22

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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.