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Finding the Fourth Proportional to 8,946.77, 13,411.94 and 3,099.28

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Solution

The fourth proportional to 8,946.77, 13,411.94 and 3,099.28 is: 4,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.77 : 13,411.94 = 3,099.28 : x
  2. Step 2: Convert to fraction form
    8,946.77/13,411.94 = 3,099.28/x
  3. Step 3: Cross multiply
    8,946.77x = 13,411.94 × 3,099.28
  4. Step 4: Simplify right side
    8,946.77x = 41,567,308.38
  5. Step 5: Solve for x
    x = 41,567,308.38/8,946.77
  6. Step 6: Final answer
    x = 4,646.07

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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.