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Finding the Fourth Proportional to 9,786.99, 13,506.30 and 5,310.74

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Solution

The fourth proportional to 9,786.99, 13,506.30 and 5,310.74 is: 7,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.99 : 13,506.30 = 5,310.74 : x
  2. Step 2: Convert to fraction form
    9,786.99/13,506.30 = 5,310.74/x
  3. Step 3: Cross multiply
    9,786.99x = 13,506.30 × 5,310.74
  4. Step 4: Simplify right side
    9,786.99x = 71,728,447.18
  5. Step 5: Solve for x
    x = 71,728,447.18/9,786.99
  6. Step 6: Final answer
    x = 7,328.96

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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.