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Finding the Fourth Proportional to 10,317.36, 15,468.18 and 5,641.36

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Solution

The fourth proportional to 10,317.36, 15,468.18 and 5,641.36 is: 8,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317.36 : 15,468.18 = 5,641.36 : x
  2. Step 2: Convert to fraction form
    10,317.36/15,468.18 = 5,641.36/x
  3. Step 3: Cross multiply
    10,317.36x = 15,468.18 × 5,641.36
  4. Step 4: Simplify right side
    10,317.36x = 87,261,571.92
  5. Step 5: Solve for x
    x = 87,261,571.92/10,317.36
  6. Step 6: Final answer
    x = 8,457.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.