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Finding the Fourth Proportional to 29,685, 40,965.30 and 16,437

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Solution

The fourth proportional to 29,685, 40,965.30 and 16,437 is: 22,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685 : 40,965.30 = 16,437 : x
  2. Step 2: Convert to fraction form
    29,685/40,965.30 = 16,437/x
  3. Step 3: Cross multiply
    29,685x = 40,965.30 × 16,437
  4. Step 4: Simplify right side
    29,685x = 673,346,636.10
  5. Step 5: Solve for x
    x = 673,346,636.10/29,685
  6. Step 6: Final answer
    x = 22,683.06

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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.