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Finding the Fourth Proportional to 9,805.78, 13,532.04 and 5,329.57

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Solution

The fourth proportional to 9,805.78, 13,532.04 and 5,329.57 is: 7,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.78 : 13,532.04 = 5,329.57 : x
  2. Step 2: Convert to fraction form
    9,805.78/13,532.04 = 5,329.57/x
  3. Step 3: Cross multiply
    9,805.78x = 13,532.04 × 5,329.57
  4. Step 4: Simplify right side
    9,805.78x = 72,119,954.42
  5. Step 5: Solve for x
    x = 72,119,954.42/9,805.78
  6. Step 6: Final answer
    x = 7,354.84

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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.