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Finding the Fourth Proportional to 15,784.84, 21,786.90 and 9,496

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Solution

The fourth proportional to 15,784.84, 21,786.90 and 9,496 is: 13,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.84 : 21,786.90 = 9,496 : x
  2. Step 2: Convert to fraction form
    15,784.84/21,786.90 = 9,496/x
  3. Step 3: Cross multiply
    15,784.84x = 21,786.90 × 9,496
  4. Step 4: Simplify right side
    15,784.84x = 206,888,402.40
  5. Step 5: Solve for x
    x = 206,888,402.40/15,784.84
  6. Step 6: Final answer
    x = 13,106.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.