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Finding the Fourth Proportional to 29,574.80, 40,812.94 and 16,146

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Solution

The fourth proportional to 29,574.80, 40,812.94 and 16,146 is: 22,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574.80 : 40,812.94 = 16,146 : x
  2. Step 2: Convert to fraction form
    29,574.80/40,812.94 = 16,146/x
  3. Step 3: Cross multiply
    29,574.80x = 40,812.94 × 16,146
  4. Step 4: Simplify right side
    29,574.80x = 658,965,729.24
  5. Step 5: Solve for x
    x = 658,965,729.24/29,574.80
  6. Step 6: Final answer
    x = 22,281.32

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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.