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Finding the Fourth Proportional to 40,283.44, 55,590 and 22,378

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Solution

The fourth proportional to 40,283.44, 55,590 and 22,378 is: 30,881.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,283.44 : 55,590 = 22,378 : x
  2. Step 2: Convert to fraction form
    40,283.44/55,590 = 22,378/x
  3. Step 3: Cross multiply
    40,283.44x = 55,590 × 22,378
  4. Step 4: Simplify right side
    40,283.44x = 1,243,993,020
  5. Step 5: Solve for x
    x = 1,243,993,020/40,283.44
  6. Step 6: Final answer
    x = 30,881.00

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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.