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Finding the Fourth Proportional to 27,300.23, 40,945.78 and 7,580.78

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Solution

The fourth proportional to 27,300.23, 40,945.78 and 7,580.78 is: 11,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.23 : 40,945.78 = 7,580.78 : x
  2. Step 2: Convert to fraction form
    27,300.23/40,945.78 = 7,580.78/x
  3. Step 3: Cross multiply
    27,300.23x = 40,945.78 × 7,580.78
  4. Step 4: Simplify right side
    27,300.23x = 310,400,950.11
  5. Step 5: Solve for x
    x = 310,400,950.11/27,300.23
  6. Step 6: Final answer
    x = 11,369.90

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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.