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Finding the Fourth Proportional to 39,311, 54,247.56 and 21,405.97

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Solution

The fourth proportional to 39,311, 54,247.56 and 21,405.97 is: 29,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,311 : 54,247.56 = 21,405.97 : x
  2. Step 2: Convert to fraction form
    39,311/54,247.56 = 21,405.97/x
  3. Step 3: Cross multiply
    39,311x = 54,247.56 × 21,405.97
  4. Step 4: Simplify right side
    39,311x = 1,161,221,263.67
  5. Step 5: Solve for x
    x = 1,161,221,263.67/39,311
  6. Step 6: Final answer
    x = 29,539.35

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1.5x scale

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.