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Finding the Fourth Proportional to 19,775.52, 29,660.16 and 9,252.84

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Solution

The fourth proportional to 19,775.52, 29,660.16 and 9,252.84 is: 13,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.52 : 29,660.16 = 9,252.84 : x
  2. Step 2: Convert to fraction form
    19,775.52/29,660.16 = 9,252.84/x
  3. Step 3: Cross multiply
    19,775.52x = 29,660.16 × 9,252.84
  4. Step 4: Simplify right side
    19,775.52x = 274,440,714.85
  5. Step 5: Solve for x
    x = 274,440,714.85/19,775.52
  6. Step 6: Final answer
    x = 13,877.80

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