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Finding the Fourth Proportional to 29,266.50, 40,388.05 and 15,838.03

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Solution

The fourth proportional to 29,266.50, 40,388.05 and 15,838.03 is: 21,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,266.50 : 40,388.05 = 15,838.03 : x
  2. Step 2: Convert to fraction form
    29,266.50/40,388.05 = 15,838.03/x
  3. Step 3: Cross multiply
    29,266.50x = 40,388.05 × 15,838.03
  4. Step 4: Simplify right side
    29,266.50x = 639,667,317.80
  5. Step 5: Solve for x
    x = 639,667,317.80/29,266.50
  6. Step 6: Final answer
    x = 21,856.64

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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.