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Finding the Fourth Proportional to 13,007.21, 17,949.78 and 7,264.76

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Solution

The fourth proportional to 13,007.21, 17,949.78 and 7,264.76 is: 10,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.21 : 17,949.78 = 7,264.76 : x
  2. Step 2: Convert to fraction form
    13,007.21/17,949.78 = 7,264.76/x
  3. Step 3: Cross multiply
    13,007.21x = 17,949.78 × 7,264.76
  4. Step 4: Simplify right side
    13,007.21x = 130,400,754.00
  5. Step 5: Solve for x
    x = 130,400,754.00/13,007.21
  6. Step 6: Final answer
    x = 10,025.27

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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.