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Finding the Fourth Proportional to 11,784, 16,262.30 and 6,479.20

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Solution

The fourth proportional to 11,784, 16,262.30 and 6,479.20 is: 8,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784 : 16,262.30 = 6,479.20 : x
  2. Step 2: Convert to fraction form
    11,784/16,262.30 = 6,479.20/x
  3. Step 3: Cross multiply
    11,784x = 16,262.30 × 6,479.20
  4. Step 4: Simplify right side
    11,784x = 105,366,694.16
  5. Step 5: Solve for x
    x = 105,366,694.16/11,784
  6. Step 6: Final answer
    x = 8,941.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.