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Finding the Fourth Proportional to 18,563.20, 27,823.20 and 7,464.40

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Solution

The fourth proportional to 18,563.20, 27,823.20 and 7,464.40 is: 11,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.20 : 27,823.20 = 7,464.40 : x
  2. Step 2: Convert to fraction form
    18,563.20/27,823.20 = 7,464.40/x
  3. Step 3: Cross multiply
    18,563.20x = 27,823.20 × 7,464.40
  4. Step 4: Simplify right side
    18,563.20x = 207,683,494.08
  5. Step 5: Solve for x
    x = 207,683,494.08/18,563.20
  6. Step 6: Final answer
    x = 11,187.91

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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.