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Finding the Fourth Proportional to 8,599.72, 12,889.74 and 3,973

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Solution

The fourth proportional to 8,599.72, 12,889.74 and 3,973 is: 5,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.72 : 12,889.74 = 3,973 : x
  2. Step 2: Convert to fraction form
    8,599.72/12,889.74 = 3,973/x
  3. Step 3: Cross multiply
    8,599.72x = 12,889.74 × 3,973
  4. Step 4: Simplify right side
    8,599.72x = 51,210,937.02
  5. Step 5: Solve for x
    x = 51,210,937.02/8,599.72
  6. Step 6: Final answer
    x = 5,954.95

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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.