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Finding the Fourth Proportional to 10,584, 15,881.76 and 5,112

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Solution

The fourth proportional to 10,584, 15,881.76 and 5,112 is: 7,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 15,881.76 = 5,112 : x
  2. Step 2: Convert to fraction form
    10,584/15,881.76 = 5,112/x
  3. Step 3: Cross multiply
    10,584x = 15,881.76 × 5,112
  4. Step 4: Simplify right side
    10,584x = 81,187,557.12
  5. Step 5: Solve for x
    x = 81,187,557.12/10,584
  6. Step 6: Final answer
    x = 7,670.78

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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.