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Finding the Fourth Proportional to 13,757.76, 20,625.12 and 5,547.84

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Solution

The fourth proportional to 13,757.76, 20,625.12 and 5,547.84 is: 8,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.76 : 20,625.12 = 5,547.84 : x
  2. Step 2: Convert to fraction form
    13,757.76/20,625.12 = 5,547.84/x
  3. Step 3: Cross multiply
    13,757.76x = 20,625.12 × 5,547.84
  4. Step 4: Simplify right side
    13,757.76x = 114,424,865.74
  5. Step 5: Solve for x
    x = 114,424,865.74/13,757.76
  6. Step 6: Final answer
    x = 8,317.11

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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.