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Finding the Fourth Proportional to 19,978.22, 27,561.54 and 14,013.79

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Solution

The fourth proportional to 19,978.22, 27,561.54 and 14,013.79 is: 19,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.22 : 27,561.54 = 14,013.79 : x
  2. Step 2: Convert to fraction form
    19,978.22/27,561.54 = 14,013.79/x
  3. Step 3: Cross multiply
    19,978.22x = 27,561.54 × 14,013.79
  4. Step 4: Simplify right side
    19,978.22x = 386,241,633.64
  5. Step 5: Solve for x
    x = 386,241,633.64/19,978.22
  6. Step 6: Final answer
    x = 19,333.14

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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.