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Finding the Fourth Proportional to 9,516, 13,137.84 and 6,209.76

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Solution

The fourth proportional to 9,516, 13,137.84 and 6,209.76 is: 8,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516 : 13,137.84 = 6,209.76 : x
  2. Step 2: Convert to fraction form
    9,516/13,137.84 = 6,209.76/x
  3. Step 3: Cross multiply
    9,516x = 13,137.84 × 6,209.76
  4. Step 4: Simplify right side
    9,516x = 81,582,833.32
  5. Step 5: Solve for x
    x = 81,582,833.32/9,516
  6. Step 6: Final answer
    x = 8,573.23

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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.