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Finding the Fourth Proportional to 27,555, 41,331.08 and 7,830.96

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Solution

The fourth proportional to 27,555, 41,331.08 and 7,830.96 is: 11,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,555 : 41,331.08 = 7,830.96 : x
  2. Step 2: Convert to fraction form
    27,555/41,331.08 = 7,830.96/x
  3. Step 3: Cross multiply
    27,555x = 41,331.08 × 7,830.96
  4. Step 4: Simplify right side
    27,555x = 323,662,034.24
  5. Step 5: Solve for x
    x = 323,662,034.24/27,555
  6. Step 6: Final answer
    x = 11,746.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.