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Finding the Fourth Proportional to 9,836.75, 13,574.72 and 5,420.75

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Solution

The fourth proportional to 9,836.75, 13,574.72 and 5,420.75 is: 7,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.75 : 13,574.72 = 5,420.75 : x
  2. Step 2: Convert to fraction form
    9,836.75/13,574.72 = 5,420.75/x
  3. Step 3: Cross multiply
    9,836.75x = 13,574.72 × 5,420.75
  4. Step 4: Simplify right side
    9,836.75x = 73,585,136.34
  5. Step 5: Solve for x
    x = 73,585,136.34/9,836.75
  6. Step 6: Final answer
    x = 7,480.64

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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.