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Finding the Fourth Proportional to 17,114.70, 25,669.65 and 5,429.10

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Solution

The fourth proportional to 17,114.70, 25,669.65 and 5,429.10 is: 8,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.70 : 25,669.65 = 5,429.10 : x
  2. Step 2: Convert to fraction form
    17,114.70/25,669.65 = 5,429.10/x
  3. Step 3: Cross multiply
    17,114.70x = 25,669.65 × 5,429.10
  4. Step 4: Simplify right side
    17,114.70x = 139,363,096.82
  5. Step 5: Solve for x
    x = 139,363,096.82/17,114.70
  6. Step 6: Final answer
    x = 8,142.89

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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.