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Finding the Fourth Proportional to 13,841.84, 20,750.31 and 5,074.71

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Solution

The fourth proportional to 13,841.84, 20,750.31 and 5,074.71 is: 7,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.84 : 20,750.31 = 5,074.71 : x
  2. Step 2: Convert to fraction form
    13,841.84/20,750.31 = 5,074.71/x
  3. Step 3: Cross multiply
    13,841.84x = 20,750.31 × 5,074.71
  4. Step 4: Simplify right side
    13,841.84x = 105,301,805.66
  5. Step 5: Solve for x
    x = 105,301,805.66/13,841.84
  6. Step 6: Final answer
    x = 7,607.50

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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.