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Finding the Fourth Proportional to 9,715, 13,404.54 and 5,736.28

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Solution

The fourth proportional to 9,715, 13,404.54 and 5,736.28 is: 7,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715 : 13,404.54 = 5,736.28 : x
  2. Step 2: Convert to fraction form
    9,715/13,404.54 = 5,736.28/x
  3. Step 3: Cross multiply
    9,715x = 13,404.54 × 5,736.28
  4. Step 4: Simplify right side
    9,715x = 76,892,194.71
  5. Step 5: Solve for x
    x = 76,892,194.71/9,715
  6. Step 6: Final answer
    x = 7,914.79

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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.