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Finding the Fourth Proportional to 34,552.96, 47,690.56 and 20,400

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Solution

The fourth proportional to 34,552.96, 47,690.56 and 20,400 is: 28,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,552.96 : 47,690.56 = 20,400 : x
  2. Step 2: Convert to fraction form
    34,552.96/47,690.56 = 20,400/x
  3. Step 3: Cross multiply
    34,552.96x = 47,690.56 × 20,400
  4. Step 4: Simplify right side
    34,552.96x = 972,887,424
  5. Step 5: Solve for x
    x = 972,887,424/34,552.96
  6. Step 6: Final answer
    x = 28,156.41

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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.