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Finding the Fourth Proportional to 9,539.72, 13,164.80 and 5,813.72

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Solution

The fourth proportional to 9,539.72, 13,164.80 and 5,813.72 is: 8,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.72 : 13,164.80 = 5,813.72 : x
  2. Step 2: Convert to fraction form
    9,539.72/13,164.80 = 5,813.72/x
  3. Step 3: Cross multiply
    9,539.72x = 13,164.80 × 5,813.72
  4. Step 4: Simplify right side
    9,539.72x = 76,536,461.06
  5. Step 5: Solve for x
    x = 76,536,461.06/9,539.72
  6. Step 6: Final answer
    x = 8,022.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.