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Finding the Fourth Proportional to 5,243.94, 7,864.83 and 1,545.39

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Solution

The fourth proportional to 5,243.94, 7,864.83 and 1,545.39 is: 2,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.94 : 7,864.83 = 1,545.39 : x
  2. Step 2: Convert to fraction form
    5,243.94/7,864.83 = 1,545.39/x
  3. Step 3: Cross multiply
    5,243.94x = 7,864.83 × 1,545.39
  4. Step 4: Simplify right side
    5,243.94x = 12,154,229.63
  5. Step 5: Solve for x
    x = 12,154,229.63/5,243.94
  6. Step 6: Final answer
    x = 2,317.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.