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Finding the Fourth Proportional to 5,806.83, 8,710.35 and 1,424.31

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Solution

The fourth proportional to 5,806.83, 8,710.35 and 1,424.31 is: 2,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.83 : 8,710.35 = 1,424.31 : x
  2. Step 2: Convert to fraction form
    5,806.83/8,710.35 = 1,424.31/x
  3. Step 3: Cross multiply
    5,806.83x = 8,710.35 × 1,424.31
  4. Step 4: Simplify right side
    5,806.83x = 12,406,238.61
  5. Step 5: Solve for x
    x = 12,406,238.61/5,806.83
  6. Step 6: Final answer
    x = 2,136.49

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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.