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Finding the Fourth Proportional to 19,881, 29,821.52 and 7,400.76

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Solution

The fourth proportional to 19,881, 29,821.52 and 7,400.76 is: 11,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881 : 29,821.52 = 7,400.76 : x
  2. Step 2: Convert to fraction form
    19,881/29,821.52 = 7,400.76/x
  3. Step 3: Cross multiply
    19,881x = 29,821.52 × 7,400.76
  4. Step 4: Simplify right side
    19,881x = 220,701,912.36
  5. Step 5: Solve for x
    x = 220,701,912.36/19,881
  6. Step 6: Final answer
    x = 11,101.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.