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Finding the Fourth Proportional to 12,718, 17,550.96 and 7,129.12

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Solution

The fourth proportional to 12,718, 17,550.96 and 7,129.12 is: 9,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718 : 17,550.96 = 7,129.12 : x
  2. Step 2: Convert to fraction form
    12,718/17,550.96 = 7,129.12/x
  3. Step 3: Cross multiply
    12,718x = 17,550.96 × 7,129.12
  4. Step 4: Simplify right side
    12,718x = 125,122,899.96
  5. Step 5: Solve for x
    x = 125,122,899.96/12,718
  6. Step 6: Final answer
    x = 9,838.25

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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.