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Finding the Fourth Proportional to 19,775.88, 29,660.94 and 7,461

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Solution

The fourth proportional to 19,775.88, 29,660.94 and 7,461 is: 11,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.88 : 29,660.94 = 7,461 : x
  2. Step 2: Convert to fraction form
    19,775.88/29,660.94 = 7,461/x
  3. Step 3: Cross multiply
    19,775.88x = 29,660.94 × 7,461
  4. Step 4: Simplify right side
    19,775.88x = 221,300,273.34
  5. Step 5: Solve for x
    x = 221,300,273.34/19,775.88
  6. Step 6: Final answer
    x = 11,190.41

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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.