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Finding the Fourth Proportional to 14,163.51, 19,545.39 and 7,875.75

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Solution

The fourth proportional to 14,163.51, 19,545.39 and 7,875.75 is: 10,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163.51 : 19,545.39 = 7,875.75 : x
  2. Step 2: Convert to fraction form
    14,163.51/19,545.39 = 7,875.75/x
  3. Step 3: Cross multiply
    14,163.51x = 19,545.39 × 7,875.75
  4. Step 4: Simplify right side
    14,163.51x = 153,934,605.29
  5. Step 5: Solve for x
    x = 153,934,605.29/14,163.51
  6. Step 6: Final answer
    x = 10,868.39

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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.