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Finding the Fourth Proportional to 13,907.39, 20,862 and 4,047.35

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Solution

The fourth proportional to 13,907.39, 20,862 and 4,047.35 is: 6,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.39 : 20,862 = 4,047.35 : x
  2. Step 2: Convert to fraction form
    13,907.39/20,862 = 4,047.35/x
  3. Step 3: Cross multiply
    13,907.39x = 20,862 × 4,047.35
  4. Step 4: Simplify right side
    13,907.39x = 84,435,711.39
  5. Step 5: Solve for x
    x = 84,435,711.39/13,907.39
  6. Step 6: Final answer
    x = 6,071.29

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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.