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Finding the Fourth Proportional to 14,666, 20,240.16 and 9,078.08

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Solution

The fourth proportional to 14,666, 20,240.16 and 9,078.08 is: 12,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666 : 20,240.16 = 9,078.08 : x
  2. Step 2: Convert to fraction form
    14,666/20,240.16 = 9,078.08/x
  3. Step 3: Cross multiply
    14,666x = 20,240.16 × 9,078.08
  4. Step 4: Simplify right side
    14,666x = 183,741,791.69
  5. Step 5: Solve for x
    x = 183,741,791.69/14,666
  6. Step 6: Final answer
    x = 12,528.42

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1.5x scale

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.