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Finding the Fourth Proportional to 27,007.80, 40,509.78 and 7,287.48

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Solution

The fourth proportional to 27,007.80, 40,509.78 and 7,287.48 is: 10,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007.80 : 40,509.78 = 7,287.48 : x
  2. Step 2: Convert to fraction form
    27,007.80/40,509.78 = 7,287.48/x
  3. Step 3: Cross multiply
    27,007.80x = 40,509.78 × 7,287.48
  4. Step 4: Simplify right side
    27,007.80x = 295,214,211.55
  5. Step 5: Solve for x
    x = 295,214,211.55/27,007.80
  6. Step 6: Final answer
    x = 10,930.70

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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.