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Finding the Fourth Proportional to 22,740, 31,382.15 and 12,668.45

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Solution

The fourth proportional to 22,740, 31,382.15 and 12,668.45 is: 17,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740 : 31,382.15 = 12,668.45 : x
  2. Step 2: Convert to fraction form
    22,740/31,382.15 = 12,668.45/x
  3. Step 3: Cross multiply
    22,740x = 31,382.15 × 12,668.45
  4. Step 4: Simplify right side
    22,740x = 397,562,977.91
  5. Step 5: Solve for x
    x = 397,562,977.91/22,740
  6. Step 6: Final answer
    x = 17,482.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.