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Finding the Fourth Proportional to 29,821.50, 41,162.31 and 19,885.50

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Solution

The fourth proportional to 29,821.50, 41,162.31 and 19,885.50 is: 27,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.50 : 41,162.31 = 19,885.50 : x
  2. Step 2: Convert to fraction form
    29,821.50/41,162.31 = 19,885.50/x
  3. Step 3: Cross multiply
    29,821.50x = 41,162.31 × 19,885.50
  4. Step 4: Simplify right side
    29,821.50x = 818,533,115.51
  5. Step 5: Solve for x
    x = 818,533,115.51/29,821.50
  6. Step 6: Final answer
    x = 27,447.75

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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.