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Finding the Fourth Proportional to 40,032, 55,244.16 and 22,368

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Solution

The fourth proportional to 40,032, 55,244.16 and 22,368 is: 30,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032 : 55,244.16 = 22,368 : x
  2. Step 2: Convert to fraction form
    40,032/55,244.16 = 22,368/x
  3. Step 3: Cross multiply
    40,032x = 55,244.16 × 22,368
  4. Step 4: Simplify right side
    40,032x = 1,235,701,370.88
  5. Step 5: Solve for x
    x = 1,235,701,370.88/40,032
  6. Step 6: Final answer
    x = 30,867.84

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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.