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Finding the Fourth Proportional to 29,106, 40,166.28 and 15,858

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Solution

The fourth proportional to 29,106, 40,166.28 and 15,858 is: 21,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106 : 40,166.28 = 15,858 : x
  2. Step 2: Convert to fraction form
    29,106/40,166.28 = 15,858/x
  3. Step 3: Cross multiply
    29,106x = 40,166.28 × 15,858
  4. Step 4: Simplify right side
    29,106x = 636,956,868.24
  5. Step 5: Solve for x
    x = 636,956,868.24/29,106
  6. Step 6: Final answer
    x = 21,884.04

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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.