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Finding the Fourth Proportional to 9,513, 13,127.94 and 5,321.25

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Solution

The fourth proportional to 9,513, 13,127.94 and 5,321.25 is: 7,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513 : 13,127.94 = 5,321.25 : x
  2. Step 2: Convert to fraction form
    9,513/13,127.94 = 5,321.25/x
  3. Step 3: Cross multiply
    9,513x = 13,127.94 × 5,321.25
  4. Step 4: Simplify right side
    9,513x = 69,857,050.73
  5. Step 5: Solve for x
    x = 69,857,050.73/9,513
  6. Step 6: Final answer
    x = 7,343.33

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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.