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Finding the Fourth Proportional to 15,120.96, 22,681.32 and 5,886.96

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Solution

The fourth proportional to 15,120.96, 22,681.32 and 5,886.96 is: 8,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.96 : 22,681.32 = 5,886.96 : x
  2. Step 2: Convert to fraction form
    15,120.96/22,681.32 = 5,886.96/x
  3. Step 3: Cross multiply
    15,120.96x = 22,681.32 × 5,886.96
  4. Step 4: Simplify right side
    15,120.96x = 133,524,023.59
  5. Step 5: Solve for x
    x = 133,524,023.59/15,120.96
  6. Step 6: Final answer
    x = 8,830.39

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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.