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Finding the Fourth Proportional to 9,809, 13,536.56 and 5,617.25

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Solution

The fourth proportional to 9,809, 13,536.56 and 5,617.25 is: 7,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809 : 13,536.56 = 5,617.25 : x
  2. Step 2: Convert to fraction form
    9,809/13,536.56 = 5,617.25/x
  3. Step 3: Cross multiply
    9,809x = 13,536.56 × 5,617.25
  4. Step 4: Simplify right side
    9,809x = 76,038,213.57
  5. Step 5: Solve for x
    x = 76,038,213.57/9,809
  6. Step 6: Final answer
    x = 7,751.88

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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.