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Finding the Fourth Proportional to 40,004, 55,205.52 and 22,340

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Solution

The fourth proportional to 40,004, 55,205.52 and 22,340 is: 30,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,004 : 55,205.52 = 22,340 : x
  2. Step 2: Convert to fraction form
    40,004/55,205.52 = 22,340/x
  3. Step 3: Cross multiply
    40,004x = 55,205.52 × 22,340
  4. Step 4: Simplify right side
    40,004x = 1,233,291,316.80
  5. Step 5: Solve for x
    x = 1,233,291,316.80/40,004
  6. Step 6: Final answer
    x = 30,829.20

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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.