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Finding the Fourth Proportional to 19,782.28, 27,291.90 and 12,712.60

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Solution

The fourth proportional to 19,782.28, 27,291.90 and 12,712.60 is: 17,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.28 : 27,291.90 = 12,712.60 : x
  2. Step 2: Convert to fraction form
    19,782.28/27,291.90 = 12,712.60/x
  3. Step 3: Cross multiply
    19,782.28x = 27,291.90 × 12,712.60
  4. Step 4: Simplify right side
    19,782.28x = 346,951,007.94
  5. Step 5: Solve for x
    x = 346,951,007.94/19,782.28
  6. Step 6: Final answer
    x = 17,538.47

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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.