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Finding the Fourth Proportional to 39,784, 59,678.40 and 12,082.24

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Solution

The fourth proportional to 39,784, 59,678.40 and 12,082.24 is: 18,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784 : 59,678.40 = 12,082.24 : x
  2. Step 2: Convert to fraction form
    39,784/59,678.40 = 12,082.24/x
  3. Step 3: Cross multiply
    39,784x = 59,678.40 × 12,082.24
  4. Step 4: Simplify right side
    39,784x = 721,048,751.62
  5. Step 5: Solve for x
    x = 721,048,751.62/39,784
  6. Step 6: Final answer
    x = 18,124.09

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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.