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Finding the Fourth Proportional to 27,117, 37,431.54 and 20,422.08

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Solution

The fourth proportional to 27,117, 37,431.54 and 20,422.08 is: 28,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117 : 37,431.54 = 20,422.08 : x
  2. Step 2: Convert to fraction form
    27,117/37,431.54 = 20,422.08/x
  3. Step 3: Cross multiply
    27,117x = 37,431.54 × 20,422.08
  4. Step 4: Simplify right side
    27,117x = 764,429,904.40
  5. Step 5: Solve for x
    x = 764,429,904.40/27,117
  6. Step 6: Final answer
    x = 28,190.06

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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.