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Finding the Fourth Proportional to 12,400.98, 17,112.48 and 7,021.88

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Solution

The fourth proportional to 12,400.98, 17,112.48 and 7,021.88 is: 9,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.98 : 17,112.48 = 7,021.88 : x
  2. Step 2: Convert to fraction form
    12,400.98/17,112.48 = 7,021.88/x
  3. Step 3: Cross multiply
    12,400.98x = 17,112.48 × 7,021.88
  4. Step 4: Simplify right side
    12,400.98x = 120,161,695.50
  5. Step 5: Solve for x
    x = 120,161,695.50/12,400.98
  6. Step 6: Final answer
    x = 9,689.69

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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.