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Finding the Fourth Proportional to 13,228.31, 18,255 and 7,260.08

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Solution

The fourth proportional to 13,228.31, 18,255 and 7,260.08 is: 10,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.31 : 18,255 = 7,260.08 : x
  2. Step 2: Convert to fraction form
    13,228.31/18,255 = 7,260.08/x
  3. Step 3: Cross multiply
    13,228.31x = 18,255 × 7,260.08
  4. Step 4: Simplify right side
    13,228.31x = 132,532,760.40
  5. Step 5: Solve for x
    x = 132,532,760.40/13,228.31
  6. Step 6: Final answer
    x = 10,018.87

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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.