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Finding the Fourth Proportional to 12,191.75, 16,812.97 and 7,412.51

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Solution

The fourth proportional to 12,191.75, 16,812.97 and 7,412.51 is: 10,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.75 : 16,812.97 = 7,412.51 : x
  2. Step 2: Convert to fraction form
    12,191.75/16,812.97 = 7,412.51/x
  3. Step 3: Cross multiply
    12,191.75x = 16,812.97 × 7,412.51
  4. Step 4: Simplify right side
    12,191.75x = 124,626,331.76
  5. Step 5: Solve for x
    x = 124,626,331.76/12,191.75
  6. Step 6: Final answer
    x = 10,222.19

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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.