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Finding the Fourth Proportional to 14,747.60, 22,104.72 and 6,415.12

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Solution

The fourth proportional to 14,747.60, 22,104.72 and 6,415.12 is: 9,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.60 : 22,104.72 = 6,415.12 : x
  2. Step 2: Convert to fraction form
    14,747.60/22,104.72 = 6,415.12/x
  3. Step 3: Cross multiply
    14,747.60x = 22,104.72 × 6,415.12
  4. Step 4: Simplify right side
    14,747.60x = 141,804,431.37
  5. Step 5: Solve for x
    x = 141,804,431.37/14,747.60
  6. Step 6: Final answer
    x = 9,615.42

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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.