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Finding the Fourth Proportional to 15,777.84, 21,777.24 and 9,489

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Solution

The fourth proportional to 15,777.84, 21,777.24 and 9,489 is: 13,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.84 : 21,777.24 = 9,489 : x
  2. Step 2: Convert to fraction form
    15,777.84/21,777.24 = 9,489/x
  3. Step 3: Cross multiply
    15,777.84x = 21,777.24 × 9,489
  4. Step 4: Simplify right side
    15,777.84x = 206,644,230.36
  5. Step 5: Solve for x
    x = 206,644,230.36/15,777.84
  6. Step 6: Final answer
    x = 13,097.12

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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.