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Finding the Fourth Proportional to 19,175.50, 28,744.89 and 9,811.90

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Solution

The fourth proportional to 19,175.50, 28,744.89 and 9,811.90 is: 14,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,175.50 : 28,744.89 = 9,811.90 : x
  2. Step 2: Convert to fraction form
    19,175.50/28,744.89 = 9,811.90/x
  3. Step 3: Cross multiply
    19,175.50x = 28,744.89 × 9,811.90
  4. Step 4: Simplify right side
    19,175.50x = 282,041,986.19
  5. Step 5: Solve for x
    x = 282,041,986.19/19,175.50
  6. Step 6: Final answer
    x = 14,708.46

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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.