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Finding the Fourth Proportional to 37,995, 52,433.12 and 21,228

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Solution

The fourth proportional to 37,995, 52,433.12 and 21,228 is: 29,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,995 : 52,433.12 = 21,228 : x
  2. Step 2: Convert to fraction form
    37,995/52,433.12 = 21,228/x
  3. Step 3: Cross multiply
    37,995x = 52,433.12 × 21,228
  4. Step 4: Simplify right side
    37,995x = 1,113,050,271.36
  5. Step 5: Solve for x
    x = 1,113,050,271.36/37,995
  6. Step 6: Final answer
    x = 29,294.65

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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.