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Finding the Fourth Proportional to 11,585.67, 15,988.23 and 6,280.50

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Solution

The fourth proportional to 11,585.67, 15,988.23 and 6,280.50 is: 8,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.67 : 15,988.23 = 6,280.50 : x
  2. Step 2: Convert to fraction form
    11,585.67/15,988.23 = 6,280.50/x
  3. Step 3: Cross multiply
    11,585.67x = 15,988.23 × 6,280.50
  4. Step 4: Simplify right side
    11,585.67x = 100,414,078.52
  5. Step 5: Solve for x
    x = 100,414,078.52/11,585.67
  6. Step 6: Final answer
    x = 8,667.09

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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.