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Finding the Fourth Proportional to 5,855.76, 8,784.82 and 2,158.01

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Solution

The fourth proportional to 5,855.76, 8,784.82 and 2,158.01 is: 3,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.76 : 8,784.82 = 2,158.01 : x
  2. Step 2: Convert to fraction form
    5,855.76/8,784.82 = 2,158.01/x
  3. Step 3: Cross multiply
    5,855.76x = 8,784.82 × 2,158.01
  4. Step 4: Simplify right side
    5,855.76x = 18,957,754.07
  5. Step 5: Solve for x
    x = 18,957,754.07/5,855.76
  6. Step 6: Final answer
    x = 3,237.45

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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.