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Finding the Fourth Proportional to 8,720.78, 13,083.02 and 4,559.67

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Solution

The fourth proportional to 8,720.78, 13,083.02 and 4,559.67 is: 6,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.78 : 13,083.02 = 4,559.67 : x
  2. Step 2: Convert to fraction form
    8,720.78/13,083.02 = 4,559.67/x
  3. Step 3: Cross multiply
    8,720.78x = 13,083.02 × 4,559.67
  4. Step 4: Simplify right side
    8,720.78x = 59,654,231.01
  5. Step 5: Solve for x
    x = 59,654,231.01/8,720.78
  6. Step 6: Final answer
    x = 6,840.47

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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.