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Finding the Fourth Proportional to 27,171.20, 40,742.40 and 9,641.60

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Solution

The fourth proportional to 27,171.20, 40,742.40 and 9,641.60 is: 14,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.20 : 40,742.40 = 9,641.60 : x
  2. Step 2: Convert to fraction form
    27,171.20/40,742.40 = 9,641.60/x
  3. Step 3: Cross multiply
    27,171.20x = 40,742.40 × 9,641.60
  4. Step 4: Simplify right side
    27,171.20x = 392,821,923.84
  5. Step 5: Solve for x
    x = 392,821,923.84/27,171.20
  6. Step 6: Final answer
    x = 14,457.29

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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.