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Finding the Fourth Proportional to 12,997.85, 17,941.89 and 10,120.89

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Solution

The fourth proportional to 12,997.85, 17,941.89 and 10,120.89 is: 13,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.85 : 17,941.89 = 10,120.89 : x
  2. Step 2: Convert to fraction form
    12,997.85/17,941.89 = 10,120.89/x
  3. Step 3: Cross multiply
    12,997.85x = 17,941.89 × 10,120.89
  4. Step 4: Simplify right side
    12,997.85x = 181,587,895.08
  5. Step 5: Solve for x
    x = 181,587,895.08/12,997.85
  6. Step 6: Final answer
    x = 13,970.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.