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Finding the Fourth Proportional to 9,833.47, 13,570.11 and 5,357.21

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Solution

The fourth proportional to 9,833.47, 13,570.11 and 5,357.21 is: 7,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.47 : 13,570.11 = 5,357.21 : x
  2. Step 2: Convert to fraction form
    9,833.47/13,570.11 = 5,357.21/x
  3. Step 3: Cross multiply
    9,833.47x = 13,570.11 × 5,357.21
  4. Step 4: Simplify right side
    9,833.47x = 72,697,861.14
  5. Step 5: Solve for x
    x = 72,697,861.14/9,833.47
  6. Step 6: Final answer
    x = 7,392.90

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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.