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Finding the Fourth Proportional to 29,676, 40,955.76 and 16,428

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Solution

The fourth proportional to 29,676, 40,955.76 and 16,428 is: 22,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676 : 40,955.76 = 16,428 : x
  2. Step 2: Convert to fraction form
    29,676/40,955.76 = 16,428/x
  3. Step 3: Cross multiply
    29,676x = 40,955.76 × 16,428
  4. Step 4: Simplify right side
    29,676x = 672,821,225.28
  5. Step 5: Solve for x
    x = 672,821,225.28/29,676
  6. Step 6: Final answer
    x = 22,672.23

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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.