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Finding the Fourth Proportional to 13,833, 19,089.54 and 7,545.51

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Solution

The fourth proportional to 13,833, 19,089.54 and 7,545.51 is: 10,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833 : 19,089.54 = 7,545.51 : x
  2. Step 2: Convert to fraction form
    13,833/19,089.54 = 7,545.51/x
  3. Step 3: Cross multiply
    13,833x = 19,089.54 × 7,545.51
  4. Step 4: Simplify right side
    13,833x = 144,040,314.97
  5. Step 5: Solve for x
    x = 144,040,314.97/13,833
  6. Step 6: Final answer
    x = 10,412.80

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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.