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Finding the Fourth Proportional to 9,985.78, 13,781.75 and 5,794.03

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Solution

The fourth proportional to 9,985.78, 13,781.75 and 5,794.03 is: 7,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.78 : 13,781.75 = 5,794.03 : x
  2. Step 2: Convert to fraction form
    9,985.78/13,781.75 = 5,794.03/x
  3. Step 3: Cross multiply
    9,985.78x = 13,781.75 × 5,794.03
  4. Step 4: Simplify right side
    9,985.78x = 79,851,861.21
  5. Step 5: Solve for x
    x = 79,851,861.21/9,985.78
  6. Step 6: Final answer
    x = 7,996.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.