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Finding the Fourth Proportional to 27,382.61, 37,780.30 and 18,321.30

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Solution

The fourth proportional to 27,382.61, 37,780.30 and 18,321.30 is: 25,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.61 : 37,780.30 = 18,321.30 : x
  2. Step 2: Convert to fraction form
    27,382.61/37,780.30 = 18,321.30/x
  3. Step 3: Cross multiply
    27,382.61x = 37,780.30 × 18,321.30
  4. Step 4: Simplify right side
    27,382.61x = 692,184,164.59
  5. Step 5: Solve for x
    x = 692,184,164.59/27,382.61
  6. Step 6: Final answer
    x = 25,278.24

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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.