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Finding the Fourth Proportional to 10,588, 15,878.80 and 3,191.84

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Solution

The fourth proportional to 10,588, 15,878.80 and 3,191.84 is: 4,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 15,878.80 = 3,191.84 : x
  2. Step 2: Convert to fraction form
    10,588/15,878.80 = 3,191.84/x
  3. Step 3: Cross multiply
    10,588x = 15,878.80 × 3,191.84
  4. Step 4: Simplify right side
    10,588x = 50,682,588.99
  5. Step 5: Solve for x
    x = 50,682,588.99/10,588
  6. Step 6: Final answer
    x = 4,786.80

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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.