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Finding the Fourth Proportional to 29,214, 40,315.32 and 15,966

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Solution

The fourth proportional to 29,214, 40,315.32 and 15,966 is: 22,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 40,315.32 = 15,966 : x
  2. Step 2: Convert to fraction form
    29,214/40,315.32 = 15,966/x
  3. Step 3: Cross multiply
    29,214x = 40,315.32 × 15,966
  4. Step 4: Simplify right side
    29,214x = 643,674,399.12
  5. Step 5: Solve for x
    x = 643,674,399.12/29,214
  6. Step 6: Final answer
    x = 22,033.08

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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.