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Finding the Fourth Proportional to 9,965.88, 13,752.47 and 5,713.90

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Solution

The fourth proportional to 9,965.88, 13,752.47 and 5,713.90 is: 7,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.88 : 13,752.47 = 5,713.90 : x
  2. Step 2: Convert to fraction form
    9,965.88/13,752.47 = 5,713.90/x
  3. Step 3: Cross multiply
    9,965.88x = 13,752.47 × 5,713.90
  4. Step 4: Simplify right side
    9,965.88x = 78,580,218.24
  5. Step 5: Solve for x
    x = 78,580,218.24/9,965.88
  6. Step 6: Final answer
    x = 7,884.93

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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.