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Finding the Fourth Proportional to 27,735, 38,274.58 and 15,159.80

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Solution

The fourth proportional to 27,735, 38,274.58 and 15,159.80 is: 20,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735 : 38,274.58 = 15,159.80 : x
  2. Step 2: Convert to fraction form
    27,735/38,274.58 = 15,159.80/x
  3. Step 3: Cross multiply
    27,735x = 38,274.58 × 15,159.80
  4. Step 4: Simplify right side
    27,735x = 580,234,977.88
  5. Step 5: Solve for x
    x = 580,234,977.88/27,735
  6. Step 6: Final answer
    x = 20,920.68

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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.