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Finding the Fourth Proportional to 14,243.08, 19,658.82 and 8,653

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Solution

The fourth proportional to 14,243.08, 19,658.82 and 8,653 is: 11,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.08 : 19,658.82 = 8,653 : x
  2. Step 2: Convert to fraction form
    14,243.08/19,658.82 = 8,653/x
  3. Step 3: Cross multiply
    14,243.08x = 19,658.82 × 8,653
  4. Step 4: Simplify right side
    14,243.08x = 170,107,769.46
  5. Step 5: Solve for x
    x = 170,107,769.46/14,243.08
  6. Step 6: Final answer
    x = 11,943.19

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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.