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Finding the Fourth Proportional to 19,814.59, 27,352.86 and 13,869.59

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Solution

The fourth proportional to 19,814.59, 27,352.86 and 13,869.59 is: 19,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.59 : 27,352.86 = 13,869.59 : x
  2. Step 2: Convert to fraction form
    19,814.59/27,352.86 = 13,869.59/x
  3. Step 3: Cross multiply
    19,814.59x = 27,352.86 × 13,869.59
  4. Step 4: Simplify right side
    19,814.59x = 379,373,073.20
  5. Step 5: Solve for x
    x = 379,373,073.20/19,814.59
  6. Step 6: Final answer
    x = 19,146.15

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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.