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Finding the Fourth Proportional to 29,201, 40,297.40 and 15,953

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Solution

The fourth proportional to 29,201, 40,297.40 and 15,953 is: 22,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,201 : 40,297.40 = 15,953 : x
  2. Step 2: Convert to fraction form
    29,201/40,297.40 = 15,953/x
  3. Step 3: Cross multiply
    29,201x = 40,297.40 × 15,953
  4. Step 4: Simplify right side
    29,201x = 642,864,422.20
  5. Step 5: Solve for x
    x = 642,864,422.20/29,201
  6. Step 6: Final answer
    x = 22,015.15

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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.