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Finding the Fourth Proportional to 20,287.94, 27,965.86 and 19,894.28

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Solution

The fourth proportional to 20,287.94, 27,965.86 and 19,894.28 is: 27,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.94 : 27,965.86 = 19,894.28 : x
  2. Step 2: Convert to fraction form
    20,287.94/27,965.86 = 19,894.28/x
  3. Step 3: Cross multiply
    20,287.94x = 27,965.86 × 19,894.28
  4. Step 4: Simplify right side
    20,287.94x = 556,360,459.72
  5. Step 5: Solve for x
    x = 556,360,459.72/20,287.94
  6. Step 6: Final answer
    x = 27,423.22

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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.