Home / 13,828.28-19,083.42-7,541

Finding the Fourth Proportional to 13,828.28, 19,083.42 and 7,541

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Solution

The fourth proportional to 13,828.28, 19,083.42 and 7,541 is: 10,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.28 : 19,083.42 = 7,541 : x
  2. Step 2: Convert to fraction form
    13,828.28/19,083.42 = 7,541/x
  3. Step 3: Cross multiply
    13,828.28x = 19,083.42 × 7,541
  4. Step 4: Simplify right side
    13,828.28x = 143,908,070.22
  5. Step 5: Solve for x
    x = 143,908,070.22/13,828.28
  6. Step 6: Final answer
    x = 10,406.79

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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.