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Finding the Fourth Proportional to 8,779.34, 13,147.68 and 4,824.56

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Solution

The fourth proportional to 8,779.34, 13,147.68 and 4,824.56 is: 7,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,779.34 : 13,147.68 = 4,824.56 : x
  2. Step 2: Convert to fraction form
    8,779.34/13,147.68 = 4,824.56/x
  3. Step 3: Cross multiply
    8,779.34x = 13,147.68 × 4,824.56
  4. Step 4: Simplify right side
    8,779.34x = 63,431,771.02
  5. Step 5: Solve for x
    x = 63,431,771.02/8,779.34
  6. Step 6: Final answer
    x = 7,225.12

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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.