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Finding the Fourth Proportional to 28,082.36, 42,087.08 and 11,423

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Solution

The fourth proportional to 28,082.36, 42,087.08 and 11,423 is: 17,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.36 : 42,087.08 = 11,423 : x
  2. Step 2: Convert to fraction form
    28,082.36/42,087.08 = 11,423/x
  3. Step 3: Cross multiply
    28,082.36x = 42,087.08 × 11,423
  4. Step 4: Simplify right side
    28,082.36x = 480,760,714.84
  5. Step 5: Solve for x
    x = 480,760,714.84/28,082.36
  6. Step 6: Final answer
    x = 17,119.67

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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.