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Finding the Fourth Proportional to 10,220.86, 14,106 and 5,744.80

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Solution

The fourth proportional to 10,220.86, 14,106 and 5,744.80 is: 7,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.86 : 14,106 = 5,744.80 : x
  2. Step 2: Convert to fraction form
    10,220.86/14,106 = 5,744.80/x
  3. Step 3: Cross multiply
    10,220.86x = 14,106 × 5,744.80
  4. Step 4: Simplify right side
    10,220.86x = 81,036,148.80
  5. Step 5: Solve for x
    x = 81,036,148.80/10,220.86
  6. Step 6: Final answer
    x = 7,928.51

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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.