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Finding the Fourth Proportional to 12,533.52, 18,779.68 and 7,604.72

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Solution

The fourth proportional to 12,533.52, 18,779.68 and 7,604.72 is: 11,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.52 : 18,779.68 = 7,604.72 : x
  2. Step 2: Convert to fraction form
    12,533.52/18,779.68 = 7,604.72/x
  3. Step 3: Cross multiply
    12,533.52x = 18,779.68 × 7,604.72
  4. Step 4: Simplify right side
    12,533.52x = 142,814,208.09
  5. Step 5: Solve for x
    x = 142,814,208.09/12,533.52
  6. Step 6: Final answer
    x = 11,394.58

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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.