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Finding the Fourth Proportional to 8,634, 11,916.36 and 6,534.48

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Solution

The fourth proportional to 8,634, 11,916.36 and 6,534.48 is: 9,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634 : 11,916.36 = 6,534.48 : x
  2. Step 2: Convert to fraction form
    8,634/11,916.36 = 6,534.48/x
  3. Step 3: Cross multiply
    8,634x = 11,916.36 × 6,534.48
  4. Step 4: Simplify right side
    8,634x = 77,867,216.09
  5. Step 5: Solve for x
    x = 77,867,216.09/8,634
  6. Step 6: Final answer
    x = 9,018.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.