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Finding the Fourth Proportional to 5,207.91, 7,806.39 and 1,918.90

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Solution

The fourth proportional to 5,207.91, 7,806.39 and 1,918.90 is: 2,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.91 : 7,806.39 = 1,918.90 : x
  2. Step 2: Convert to fraction form
    5,207.91/7,806.39 = 1,918.90/x
  3. Step 3: Cross multiply
    5,207.91x = 7,806.39 × 1,918.90
  4. Step 4: Simplify right side
    5,207.91x = 14,979,681.77
  5. Step 5: Solve for x
    x = 14,979,681.77/5,207.91
  6. Step 6: Final answer
    x = 2,876.33

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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.