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Finding the Fourth Proportional to 19,675.71, 27,143.84 and 13,300.00

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Solution

The fourth proportional to 19,675.71, 27,143.84 and 13,300.00 is: 18,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.71 : 27,143.84 = 13,300.00 : x
  2. Step 2: Convert to fraction form
    19,675.71/27,143.84 = 13,300.00/x
  3. Step 3: Cross multiply
    19,675.71x = 27,143.84 × 13,300.00
  4. Step 4: Simplify right side
    19,675.71x = 361,013,037.39
  5. Step 5: Solve for x
    x = 361,013,037.39/19,675.71
  6. Step 6: Final answer
    x = 18,348.16

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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.