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Finding the Fourth Proportional to 14,810.49, 20,446.88 and 9,789.30

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Solution

The fourth proportional to 14,810.49, 20,446.88 and 9,789.30 is: 13,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.49 : 20,446.88 = 9,789.30 : x
  2. Step 2: Convert to fraction form
    14,810.49/20,446.88 = 9,789.30/x
  3. Step 3: Cross multiply
    14,810.49x = 20,446.88 × 9,789.30
  4. Step 4: Simplify right side
    14,810.49x = 200,160,642.38
  5. Step 5: Solve for x
    x = 200,160,642.38/14,810.49
  6. Step 6: Final answer
    x = 13,514.79

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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.