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Finding the Fourth Proportional to 3,531, 5,294.60 and 1,190.23

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Solution

The fourth proportional to 3,531, 5,294.60 and 1,190.23 is: 1,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531 : 5,294.60 = 1,190.23 : x
  2. Step 2: Convert to fraction form
    3,531/5,294.60 = 1,190.23/x
  3. Step 3: Cross multiply
    3,531x = 5,294.60 × 1,190.23
  4. Step 4: Simplify right side
    3,531x = 6,301,791.76
  5. Step 5: Solve for x
    x = 6,301,791.76/3,531
  6. Step 6: Final answer
    x = 1,784.70

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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.