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Finding the Fourth Proportional to 20,168, 27,835.44 and 19,282.40

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Solution

The fourth proportional to 20,168, 27,835.44 and 19,282.40 is: 26,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168 : 27,835.44 = 19,282.40 : x
  2. Step 2: Convert to fraction form
    20,168/27,835.44 = 19,282.40/x
  3. Step 3: Cross multiply
    20,168x = 27,835.44 × 19,282.40
  4. Step 4: Simplify right side
    20,168x = 536,734,088.26
  5. Step 5: Solve for x
    x = 536,734,088.26/20,168
  6. Step 6: Final answer
    x = 26,613.15

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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.