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Finding the Fourth Proportional to 11,154.40, 16,730.40 and 2,946.40

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Solution

The fourth proportional to 11,154.40, 16,730.40 and 2,946.40 is: 4,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.40 : 16,730.40 = 2,946.40 : x
  2. Step 2: Convert to fraction form
    11,154.40/16,730.40 = 2,946.40/x
  3. Step 3: Cross multiply
    11,154.40x = 16,730.40 × 2,946.40
  4. Step 4: Simplify right side
    11,154.40x = 49,294,450.56
  5. Step 5: Solve for x
    x = 49,294,450.56/11,154.40
  6. Step 6: Final answer
    x = 4,419.28

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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.