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Finding the Fourth Proportional to 19,477, 29,228.46 and 7,165

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Solution

The fourth proportional to 19,477, 29,228.46 and 7,165 is: 10,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477 : 29,228.46 = 7,165 : x
  2. Step 2: Convert to fraction form
    19,477/29,228.46 = 7,165/x
  3. Step 3: Cross multiply
    19,477x = 29,228.46 × 7,165
  4. Step 4: Simplify right side
    19,477x = 209,421,915.90
  5. Step 5: Solve for x
    x = 209,421,915.90/19,477
  6. Step 6: Final answer
    x = 10,752.27

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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.