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Finding the Fourth Proportional to 13,653.90, 18,842.49 and 7,687.71

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Solution

The fourth proportional to 13,653.90, 18,842.49 and 7,687.71 is: 10,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.90 : 18,842.49 = 7,687.71 : x
  2. Step 2: Convert to fraction form
    13,653.90/18,842.49 = 7,687.71/x
  3. Step 3: Cross multiply
    13,653.90x = 18,842.49 × 7,687.71
  4. Step 4: Simplify right side
    13,653.90x = 144,855,598.80
  5. Step 5: Solve for x
    x = 144,855,598.80/13,653.90
  6. Step 6: Final answer
    x = 10,609.10

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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.