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Finding the Fourth Proportional to 27,215, 40,823.91 and 7,493.12

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Solution

The fourth proportional to 27,215, 40,823.91 and 7,493.12 is: 11,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,215 : 40,823.91 = 7,493.12 : x
  2. Step 2: Convert to fraction form
    27,215/40,823.91 = 7,493.12/x
  3. Step 3: Cross multiply
    27,215x = 40,823.91 × 7,493.12
  4. Step 4: Simplify right side
    27,215x = 305,898,456.50
  5. Step 5: Solve for x
    x = 305,898,456.50/27,215
  6. Step 6: Final answer
    x = 11,240.07

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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.