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Finding the Fourth Proportional to 9,519.92, 14,215.08 and 8,400

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Solution

The fourth proportional to 9,519.92, 14,215.08 and 8,400 is: 12,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.92 : 14,215.08 = 8,400 : x
  2. Step 2: Convert to fraction form
    9,519.92/14,215.08 = 8,400/x
  3. Step 3: Cross multiply
    9,519.92x = 14,215.08 × 8,400
  4. Step 4: Simplify right side
    9,519.92x = 119,406,672
  5. Step 5: Solve for x
    x = 119,406,672/9,519.92
  6. Step 6: Final answer
    x = 12,542.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.