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Finding the Fourth Proportional to 13,674.66, 20,499.03 and 5,878.50

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Solution

The fourth proportional to 13,674.66, 20,499.03 and 5,878.50 is: 8,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.66 : 20,499.03 = 5,878.50 : x
  2. Step 2: Convert to fraction form
    13,674.66/20,499.03 = 5,878.50/x
  3. Step 3: Cross multiply
    13,674.66x = 20,499.03 × 5,878.50
  4. Step 4: Simplify right side
    13,674.66x = 120,503,547.86
  5. Step 5: Solve for x
    x = 120,503,547.86/13,674.66
  6. Step 6: Final answer
    x = 8,812.18

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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.