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Finding the Fourth Proportional to 19,665.81, 27,138.90 and 10,713.24

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Solution

The fourth proportional to 19,665.81, 27,138.90 and 10,713.24 is: 14,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.81 : 27,138.90 = 10,713.24 : x
  2. Step 2: Convert to fraction form
    19,665.81/27,138.90 = 10,713.24/x
  3. Step 3: Cross multiply
    19,665.81x = 27,138.90 × 10,713.24
  4. Step 4: Simplify right side
    19,665.81x = 290,745,549.04
  5. Step 5: Solve for x
    x = 290,745,549.04/19,665.81
  6. Step 6: Final answer
    x = 14,784.32

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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.