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Finding the Fourth Proportional to 19,857.68, 27,402 and 11,474.72

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Solution

The fourth proportional to 19,857.68, 27,402 and 11,474.72 is: 15,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.68 : 27,402 = 11,474.72 : x
  2. Step 2: Convert to fraction form
    19,857.68/27,402 = 11,474.72/x
  3. Step 3: Cross multiply
    19,857.68x = 27,402 × 11,474.72
  4. Step 4: Simplify right side
    19,857.68x = 314,430,277.44
  5. Step 5: Solve for x
    x = 314,430,277.44/19,857.68
  6. Step 6: Final answer
    x = 15,834.19

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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.