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Finding the Fourth Proportional to 12,780.94, 17,637.84 and 7,191.94

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Solution

The fourth proportional to 12,780.94, 17,637.84 and 7,191.94 is: 9,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.94 : 17,637.84 = 7,191.94 : x
  2. Step 2: Convert to fraction form
    12,780.94/17,637.84 = 7,191.94/x
  3. Step 3: Cross multiply
    12,780.94x = 17,637.84 × 7,191.94
  4. Step 4: Simplify right side
    12,780.94x = 126,850,287.01
  5. Step 5: Solve for x
    x = 126,850,287.01/12,780.94
  6. Step 6: Final answer
    x = 9,924.96

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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.