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Finding the Fourth Proportional to 27,300, 40,950.23 and 7,580.09

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Solution

The fourth proportional to 27,300, 40,950.23 and 7,580.09 is: 11,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 40,950.23 = 7,580.09 : x
  2. Step 2: Convert to fraction form
    27,300/40,950.23 = 7,580.09/x
  3. Step 3: Cross multiply
    27,300x = 40,950.23 × 7,580.09
  4. Step 4: Simplify right side
    27,300x = 310,406,493.40
  5. Step 5: Solve for x
    x = 310,406,493.40/27,300
  6. Step 6: Final answer
    x = 11,370.20

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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.