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Finding the Fourth Proportional to 27,980.91, 38,613.92 and 15,406.11

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Solution

The fourth proportional to 27,980.91, 38,613.92 and 15,406.11 is: 21,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.91 : 38,613.92 = 15,406.11 : x
  2. Step 2: Convert to fraction form
    27,980.91/38,613.92 = 15,406.11/x
  3. Step 3: Cross multiply
    27,980.91x = 38,613.92 × 15,406.11
  4. Step 4: Simplify right side
    27,980.91x = 594,890,222.02
  5. Step 5: Solve for x
    x = 594,890,222.02/27,980.91
  6. Step 6: Final answer
    x = 21,260.57

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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.