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Finding the Fourth Proportional to 13,870, 20,802.58 and 4,516.68

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Solution

The fourth proportional to 13,870, 20,802.58 and 4,516.68 is: 6,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870 : 20,802.58 = 4,516.68 : x
  2. Step 2: Convert to fraction form
    13,870/20,802.58 = 4,516.68/x
  3. Step 3: Cross multiply
    13,870x = 20,802.58 × 4,516.68
  4. Step 4: Simplify right side
    13,870x = 93,958,597.03
  5. Step 5: Solve for x
    x = 93,958,597.03/13,870
  6. Step 6: Final answer
    x = 6,774.23

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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.