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Finding the Fourth Proportional to 13,797.20, 19,042.80 and 9,081.20

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Solution

The fourth proportional to 13,797.20, 19,042.80 and 9,081.20 is: 12,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.20 : 19,042.80 = 9,081.20 : x
  2. Step 2: Convert to fraction form
    13,797.20/19,042.80 = 9,081.20/x
  3. Step 3: Cross multiply
    13,797.20x = 19,042.80 × 9,081.20
  4. Step 4: Simplify right side
    13,797.20x = 172,931,475.36
  5. Step 5: Solve for x
    x = 172,931,475.36/13,797.20
  6. Step 6: Final answer
    x = 12,533.81

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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.