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Finding the Fourth Proportional to 27,730, 38,265.22 and 15,790.96

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Solution

The fourth proportional to 27,730, 38,265.22 and 15,790.96 is: 21,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 38,265.22 = 15,790.96 : x
  2. Step 2: Convert to fraction form
    27,730/38,265.22 = 15,790.96/x
  3. Step 3: Cross multiply
    27,730x = 38,265.22 × 15,790.96
  4. Step 4: Simplify right side
    27,730x = 604,244,558.41
  5. Step 5: Solve for x
    x = 604,244,558.41/27,730
  6. Step 6: Final answer
    x = 21,790.28

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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.