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Finding the Fourth Proportional to 22,509.75, 31,063.47 and 13,078.92

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Solution

The fourth proportional to 22,509.75, 31,063.47 and 13,078.92 is: 18,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.75 : 31,063.47 = 13,078.92 : x
  2. Step 2: Convert to fraction form
    22,509.75/31,063.47 = 13,078.92/x
  3. Step 3: Cross multiply
    22,509.75x = 31,063.47 × 13,078.92
  4. Step 4: Simplify right side
    22,509.75x = 406,276,639.05
  5. Step 5: Solve for x
    x = 406,276,639.05/22,509.75
  6. Step 6: Final answer
    x = 18,048.92

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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.