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Finding the Fourth Proportional to 9,813.84, 13,543.56 and 5,782.92

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Solution

The fourth proportional to 9,813.84, 13,543.56 and 5,782.92 is: 7,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.84 : 13,543.56 = 5,782.92 : x
  2. Step 2: Convert to fraction form
    9,813.84/13,543.56 = 5,782.92/x
  3. Step 3: Cross multiply
    9,813.84x = 13,543.56 × 5,782.92
  4. Step 4: Simplify right side
    9,813.84x = 78,321,324.00
  5. Step 5: Solve for x
    x = 78,321,324.00/9,813.84
  6. Step 6: Final answer
    x = 7,980.70

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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.