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Finding the Fourth Proportional to 9,932.45, 13,709.54 and 5,685.89

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Solution

The fourth proportional to 9,932.45, 13,709.54 and 5,685.89 is: 7,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.45 : 13,709.54 = 5,685.89 : x
  2. Step 2: Convert to fraction form
    9,932.45/13,709.54 = 5,685.89/x
  3. Step 3: Cross multiply
    9,932.45x = 13,709.54 × 5,685.89
  4. Step 4: Simplify right side
    9,932.45x = 77,950,907.96
  5. Step 5: Solve for x
    x = 77,950,907.96/9,932.45
  6. Step 6: Final answer
    x = 7,848.10

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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.