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Finding the Fourth Proportional to 19,132, 28,696.86 and 8,599.30

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Solution

The fourth proportional to 19,132, 28,696.86 and 8,599.30 is: 12,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132 : 28,696.86 = 8,599.30 : x
  2. Step 2: Convert to fraction form
    19,132/28,696.86 = 8,599.30/x
  3. Step 3: Cross multiply
    19,132x = 28,696.86 × 8,599.30
  4. Step 4: Simplify right side
    19,132x = 246,772,908.20
  5. Step 5: Solve for x
    x = 246,772,908.20/19,132
  6. Step 6: Final answer
    x = 12,898.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.