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Finding the Fourth Proportional to 5,986.47, 8,985.72 and 2,478.55

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Solution

The fourth proportional to 5,986.47, 8,985.72 and 2,478.55 is: 3,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.47 : 8,985.72 = 2,478.55 : x
  2. Step 2: Convert to fraction form
    5,986.47/8,985.72 = 2,478.55/x
  3. Step 3: Cross multiply
    5,986.47x = 8,985.72 × 2,478.55
  4. Step 4: Simplify right side
    5,986.47x = 22,271,546.04
  5. Step 5: Solve for x
    x = 22,271,546.04/5,986.47
  6. Step 6: Final answer
    x = 3,720.31

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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.