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Finding the Fourth Proportional to 10,782.90, 16,174.35 and 3,388

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Solution

The fourth proportional to 10,782.90, 16,174.35 and 3,388 is: 5,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.90 : 16,174.35 = 3,388 : x
  2. Step 2: Convert to fraction form
    10,782.90/16,174.35 = 3,388/x
  3. Step 3: Cross multiply
    10,782.90x = 16,174.35 × 3,388
  4. Step 4: Simplify right side
    10,782.90x = 54,798,697.80
  5. Step 5: Solve for x
    x = 54,798,697.80/10,782.90
  6. Step 6: Final answer
    x = 5,082.00

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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.