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Finding the Fourth Proportional to 9,310.99, 13,971.49 and 7,235.16

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Solution

The fourth proportional to 9,310.99, 13,971.49 and 7,235.16 is: 10,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.99 : 13,971.49 = 7,235.16 : x
  2. Step 2: Convert to fraction form
    9,310.99/13,971.49 = 7,235.16/x
  3. Step 3: Cross multiply
    9,310.99x = 13,971.49 × 7,235.16
  4. Step 4: Simplify right side
    9,310.99x = 101,085,965.59
  5. Step 5: Solve for x
    x = 101,085,965.59/9,310.99
  6. Step 6: Final answer
    x = 10,856.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.