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Finding the Fourth Proportional to 11,563, 17,345.04 and 3,243.60

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Solution

The fourth proportional to 11,563, 17,345.04 and 3,243.60 is: 4,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 17,345.04 = 3,243.60 : x
  2. Step 2: Convert to fraction form
    11,563/17,345.04 = 3,243.60/x
  3. Step 3: Cross multiply
    11,563x = 17,345.04 × 3,243.60
  4. Step 4: Simplify right side
    11,563x = 56,260,371.74
  5. Step 5: Solve for x
    x = 56,260,371.74/11,563
  6. Step 6: Final answer
    x = 4,865.55

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Double scale
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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.