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Finding the Fourth Proportional to 19,574.88, 27,008.80 and 13,213.28

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Solution

The fourth proportional to 19,574.88, 27,008.80 and 13,213.28 is: 18,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.88 : 27,008.80 = 13,213.28 : x
  2. Step 2: Convert to fraction form
    19,574.88/27,008.80 = 13,213.28/x
  3. Step 3: Cross multiply
    19,574.88x = 27,008.80 × 13,213.28
  4. Step 4: Simplify right side
    19,574.88x = 356,874,836.86
  5. Step 5: Solve for x
    x = 356,874,836.86/19,574.88
  6. Step 6: Final answer
    x = 18,231.27

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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.