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Finding the Fourth Proportional to 17,672.80, 26,507.82 and 7,812.40

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Solution

The fourth proportional to 17,672.80, 26,507.82 and 7,812.40 is: 11,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.80 : 26,507.82 = 7,812.40 : x
  2. Step 2: Convert to fraction form
    17,672.80/26,507.82 = 7,812.40/x
  3. Step 3: Cross multiply
    17,672.80x = 26,507.82 × 7,812.40
  4. Step 4: Simplify right side
    17,672.80x = 207,089,692.97
  5. Step 5: Solve for x
    x = 207,089,692.97/17,672.80
  6. Step 6: Final answer
    x = 11,717.99

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1.5x scale

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.