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Finding the Fourth Proportional to 11,605.65, 16,016.12 and 6,300.80

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Solution

The fourth proportional to 11,605.65, 16,016.12 and 6,300.80 is: 8,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.65 : 16,016.12 = 6,300.80 : x
  2. Step 2: Convert to fraction form
    11,605.65/16,016.12 = 6,300.80/x
  3. Step 3: Cross multiply
    11,605.65x = 16,016.12 × 6,300.80
  4. Step 4: Simplify right side
    11,605.65x = 100,914,368.90
  5. Step 5: Solve for x
    x = 100,914,368.90/11,605.65
  6. Step 6: Final answer
    x = 8,695.28

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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.