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Finding the Fourth Proportional to 27,915.54, 41,864.31 and 9,191.12

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Solution

The fourth proportional to 27,915.54, 41,864.31 and 9,191.12 is: 13,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,915.54 : 41,864.31 = 9,191.12 : x
  2. Step 2: Convert to fraction form
    27,915.54/41,864.31 = 9,191.12/x
  3. Step 3: Cross multiply
    27,915.54x = 41,864.31 × 9,191.12
  4. Step 4: Simplify right side
    27,915.54x = 384,779,641.65
  5. Step 5: Solve for x
    x = 384,779,641.65/27,915.54
  6. Step 6: Final answer
    x = 13,783.71

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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.