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Finding the Fourth Proportional to 13,907.95, 20,865.34 and 4,047.31

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Solution

The fourth proportional to 13,907.95, 20,865.34 and 4,047.31 is: 6,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.95 : 20,865.34 = 4,047.31 : x
  2. Step 2: Convert to fraction form
    13,907.95/20,865.34 = 4,047.31/x
  3. Step 3: Cross multiply
    13,907.95x = 20,865.34 × 4,047.31
  4. Step 4: Simplify right side
    13,907.95x = 84,448,507.61
  5. Step 5: Solve for x
    x = 84,448,507.61/13,907.95
  6. Step 6: Final answer
    x = 6,071.96

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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.