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Finding the Fourth Proportional to 13,811.12, 19,060.02 and 7,842.68

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Solution

The fourth proportional to 13,811.12, 19,060.02 and 7,842.68 is: 10,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.12 : 19,060.02 = 7,842.68 : x
  2. Step 2: Convert to fraction form
    13,811.12/19,060.02 = 7,842.68/x
  3. Step 3: Cross multiply
    13,811.12x = 19,060.02 × 7,842.68
  4. Step 4: Simplify right side
    13,811.12x = 149,481,637.65
  5. Step 5: Solve for x
    x = 149,481,637.65/13,811.12
  6. Step 6: Final answer
    x = 10,823.28

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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.