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Finding the Fourth Proportional to 13,937.10, 20,907.99 and 6,917.46

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Solution

The fourth proportional to 13,937.10, 20,907.99 and 6,917.46 is: 10,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.10 : 20,907.99 = 6,917.46 : x
  2. Step 2: Convert to fraction form
    13,937.10/20,907.99 = 6,917.46/x
  3. Step 3: Cross multiply
    13,937.10x = 20,907.99 × 6,917.46
  4. Step 4: Simplify right side
    13,937.10x = 144,630,184.51
  5. Step 5: Solve for x
    x = 144,630,184.51/13,937.10
  6. Step 6: Final answer
    x = 10,377.35

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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.