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Finding the Fourth Proportional to 13,808.68, 19,057.68 and 7,842.26

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Solution

The fourth proportional to 13,808.68, 19,057.68 and 7,842.26 is: 10,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.68 : 19,057.68 = 7,842.26 : x
  2. Step 2: Convert to fraction form
    13,808.68/19,057.68 = 7,842.26/x
  3. Step 3: Cross multiply
    13,808.68x = 19,057.68 × 7,842.26
  4. Step 4: Simplify right side
    13,808.68x = 149,455,281.56
  5. Step 5: Solve for x
    x = 149,455,281.56/13,808.68
  6. Step 6: Final answer
    x = 10,823.29

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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.