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Finding the Fourth Proportional to 13,607.19, 20,419.47 and 5,815.98

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Solution

The fourth proportional to 13,607.19, 20,419.47 and 5,815.98 is: 8,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.19 : 20,419.47 = 5,815.98 : x
  2. Step 2: Convert to fraction form
    13,607.19/20,419.47 = 5,815.98/x
  3. Step 3: Cross multiply
    13,607.19x = 20,419.47 × 5,815.98
  4. Step 4: Simplify right side
    13,607.19x = 118,759,229.13
  5. Step 5: Solve for x
    x = 118,759,229.13/13,607.19
  6. Step 6: Final answer
    x = 8,727.68

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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.