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Finding the Fourth Proportional to 40,700, 56,163.20 and 22,794.56

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Solution

The fourth proportional to 40,700, 56,163.20 and 22,794.56 is: 31,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,700 : 56,163.20 = 22,794.56 : x
  2. Step 2: Convert to fraction form
    40,700/56,163.20 = 22,794.56/x
  3. Step 3: Cross multiply
    40,700x = 56,163.20 × 22,794.56
  4. Step 4: Simplify right side
    40,700x = 1,280,215,432.19
  5. Step 5: Solve for x
    x = 1,280,215,432.19/40,700
  6. Step 6: Final answer
    x = 31,454.92

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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.