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Finding the Fourth Proportional to 29,006, 40,028.32 and 15,758

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Solution

The fourth proportional to 29,006, 40,028.32 and 15,758 is: 21,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006 : 40,028.32 = 15,758 : x
  2. Step 2: Convert to fraction form
    29,006/40,028.32 = 15,758/x
  3. Step 3: Cross multiply
    29,006x = 40,028.32 × 15,758
  4. Step 4: Simplify right side
    29,006x = 630,766,266.56
  5. Step 5: Solve for x
    x = 630,766,266.56/29,006
  6. Step 6: Final answer
    x = 21,746.06

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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.