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Finding the Fourth Proportional to 27,281.41, 40,928.79 and 9,509.60

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Solution

The fourth proportional to 27,281.41, 40,928.79 and 9,509.60 is: 14,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,281.41 : 40,928.79 = 9,509.60 : x
  2. Step 2: Convert to fraction form
    27,281.41/40,928.79 = 9,509.60/x
  3. Step 3: Cross multiply
    27,281.41x = 40,928.79 × 9,509.60
  4. Step 4: Simplify right side
    27,281.41x = 389,216,559.37
  5. Step 5: Solve for x
    x = 389,216,559.37/27,281.41
  6. Step 6: Final answer
    x = 14,266.73

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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.