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Finding the Fourth Proportional to 11,952.81, 16,502.25 and 7,705.38

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Solution

The fourth proportional to 11,952.81, 16,502.25 and 7,705.38 is: 10,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.81 : 16,502.25 = 7,705.38 : x
  2. Step 2: Convert to fraction form
    11,952.81/16,502.25 = 7,705.38/x
  3. Step 3: Cross multiply
    11,952.81x = 16,502.25 × 7,705.38
  4. Step 4: Simplify right side
    11,952.81x = 127,156,107.11
  5. Step 5: Solve for x
    x = 127,156,107.11/11,952.81
  6. Step 6: Final answer
    x = 10,638.18

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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.