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Finding the Fourth Proportional to 11,286, 15,571.08 and 7,310.16

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Solution

The fourth proportional to 11,286, 15,571.08 and 7,310.16 is: 10,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 15,571.08 = 7,310.16 : x
  2. Step 2: Convert to fraction form
    11,286/15,571.08 = 7,310.16/x
  3. Step 3: Cross multiply
    11,286x = 15,571.08 × 7,310.16
  4. Step 4: Simplify right side
    11,286x = 113,827,086.17
  5. Step 5: Solve for x
    x = 113,827,086.17/11,286
  6. Step 6: Final answer
    x = 10,085.69

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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.