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Finding the Fourth Proportional to 9,991.50, 14,987.97 and 3,835.50

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Solution

The fourth proportional to 9,991.50, 14,987.97 and 3,835.50 is: 5,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.50 : 14,987.97 = 3,835.50 : x
  2. Step 2: Convert to fraction form
    9,991.50/14,987.97 = 3,835.50/x
  3. Step 3: Cross multiply
    9,991.50x = 14,987.97 × 3,835.50
  4. Step 4: Simplify right side
    9,991.50x = 57,486,358.94
  5. Step 5: Solve for x
    x = 57,486,358.94/9,991.50
  6. Step 6: Final answer
    x = 5,753.53

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1.5x scale

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.