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Finding the Fourth Proportional to 10,047.60, 13,862.88 and 5,855.04

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Solution

The fourth proportional to 10,047.60, 13,862.88 and 5,855.04 is: 8,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.60 : 13,862.88 = 5,855.04 : x
  2. Step 2: Convert to fraction form
    10,047.60/13,862.88 = 5,855.04/x
  3. Step 3: Cross multiply
    10,047.60x = 13,862.88 × 5,855.04
  4. Step 4: Simplify right side
    10,047.60x = 81,167,716.92
  5. Step 5: Solve for x
    x = 81,167,716.92/10,047.60
  6. Step 6: Final answer
    x = 8,078.32

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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.