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Finding the Fourth Proportional to 31,007.49, 46,506.78 and 8,822.40

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Solution

The fourth proportional to 31,007.49, 46,506.78 and 8,822.40 is: 13,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.49 : 46,506.78 = 8,822.40 : x
  2. Step 2: Convert to fraction form
    31,007.49/46,506.78 = 8,822.40/x
  3. Step 3: Cross multiply
    31,007.49x = 46,506.78 × 8,822.40
  4. Step 4: Simplify right side
    31,007.49x = 410,301,415.87
  5. Step 5: Solve for x
    x = 410,301,415.87/31,007.49
  6. Step 6: Final answer
    x = 13,232.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.