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Finding the Fourth Proportional to 29,649.15, 40,916.40 and 16,220.34

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Solution

The fourth proportional to 29,649.15, 40,916.40 and 16,220.34 is: 22,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.15 : 40,916.40 = 16,220.34 : x
  2. Step 2: Convert to fraction form
    29,649.15/40,916.40 = 16,220.34/x
  3. Step 3: Cross multiply
    29,649.15x = 40,916.40 × 16,220.34
  4. Step 4: Simplify right side
    29,649.15x = 663,677,919.58
  5. Step 5: Solve for x
    x = 663,677,919.58/29,649.15
  6. Step 6: Final answer
    x = 22,384.38

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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.