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Finding the Fourth Proportional to 29,656, 40,926.40 and 16,911.20

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Solution

The fourth proportional to 29,656, 40,926.40 and 16,911.20 is: 23,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656 : 40,926.40 = 16,911.20 : x
  2. Step 2: Convert to fraction form
    29,656/40,926.40 = 16,911.20/x
  3. Step 3: Cross multiply
    29,656x = 40,926.40 × 16,911.20
  4. Step 4: Simplify right side
    29,656x = 692,114,535.68
  5. Step 5: Solve for x
    x = 692,114,535.68/29,656
  6. Step 6: Final answer
    x = 23,338.09

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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.