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Finding the Fourth Proportional to 40,044, 55,260.72 and 22,380

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Solution

The fourth proportional to 40,044, 55,260.72 and 22,380 is: 30,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,044 : 55,260.72 = 22,380 : x
  2. Step 2: Convert to fraction form
    40,044/55,260.72 = 22,380/x
  3. Step 3: Cross multiply
    40,044x = 55,260.72 × 22,380
  4. Step 4: Simplify right side
    40,044x = 1,236,734,913.60
  5. Step 5: Solve for x
    x = 1,236,734,913.60/40,044
  6. Step 6: Final answer
    x = 30,884.40

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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.