Home / 13,825.76-19,079.34-7,538

Finding the Fourth Proportional to 13,825.76, 19,079.34 and 7,538

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Solution

The fourth proportional to 13,825.76, 19,079.34 and 7,538 is: 10,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.76 : 19,079.34 = 7,538 : x
  2. Step 2: Convert to fraction form
    13,825.76/19,079.34 = 7,538/x
  3. Step 3: Cross multiply
    13,825.76x = 19,079.34 × 7,538
  4. Step 4: Simplify right side
    13,825.76x = 143,820,064.92
  5. Step 5: Solve for x
    x = 143,820,064.92/13,825.76
  6. Step 6: Final answer
    x = 10,402.33

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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.